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2380645080 = 233451166797
BaseRepresentation
bin1000110111100101…
…1100001011011000
320010220121022010000
42031321130023120
514333421120310
61032121253000
7112665102132
oct21571341330
96126538100
102380645080
1110118a2980
12565334160
132bc2a0038
14188262052
15de0014c0
hex8de5c2d8

2380645080 has 160 divisors (see below), whose sum is σ = 8729162640. Its totient is φ = 577117440.

The previous prime is 2380645067. The next prime is 2380645087. The reversal of 2380645080 is 805460832.

2380645080 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 645 + 0 + 8 + 0 = 666.

2380645080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380645087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2242 + ... + 69038.

Almost surely, 22380645080 is an apocalyptic number.

2380645080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380645080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364581320).

2380645080 is an abundant number, since it is smaller than the sum of its proper divisors (6348517560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2380645080 is a wasteful number, since it uses less digits than its factorization.

2380645080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66831 (or 66818 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2380645080 is about 48791.8546480865. The cubic root of 2380645080 is about 1335.2570644978.

It can be divided in two parts, 23806 and 45080, that added together give a palindrome (68886).

The spelling of 2380645080 in words is "two billion, three hundred eighty million, six hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 66797 133594 200391 267188 333985 400782 534376 601173 667970 734767 801564 1001955 1202346 1335940 1469534 1603128 1803519 2003910 2204301 2404692 2671880 2939068 3005865 3607038 3673835 4007820 4408602 4809384 5410557 5878136 6011730 6612903 7214076 7347670 8015640 8817204 9017595 10821114 11021505 12023460 13225806 14428152 14695340 17634408 18035190 19838709 21642228 22043010 24046920 26451612 27052785 29390680 33064515 36070380 39677418 43284456 44086020 52903224 54105570 59516127 66129030 72140760 79354836 88172040 99193545 108211140 119032254 132258060 158709672 198387090 216422280 238064508 264516120 297580635 396774180 476129016 595161270 793548360 1190322540 2380645080