Search a number
-
+
2071189440 = 2634579907
BaseRepresentation
bin111101101110011…
…1101011111000000
312100100022022210000
41323130331133000
513220211030230
6541304440000
7102216551115
oct17334753700
95310268700
102071189440
11973150311
12499779000
132701413a8
1415910a90c
15c1c75b60
hex7b73d7c0

2071189440 has 140 divisors (see below), whose sum is σ = 7367677416. Its totient is φ = 552310272.

The previous prime is 2071189429. The next prime is 2071189447. The reversal of 2071189440 is 449811702.

2071189440 is a `hidden beast` number, since 207 + 1 + 1 + 8 + 9 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2071189395 and 2071189404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071189447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14034 + ... + 65873.

Almost surely, 22071189440 is an apocalyptic number.

2071189440 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 2071189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683838708).

2071189440 is an abundant number, since it is smaller than the sum of its proper divisors (5296487976).

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

2071189440 is an equidigital number, since it uses as much as digits as its factorization.

2071189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79936 (or 79917 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2071189440 is about 45510.3223455954. The cubic root of 2071189440 is about 1274.6959551829.

The spelling of 2071189440 in words is "two billion, seventy-one million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 79907 159814 239721 319628 399535 479442 639256 719163 799070 958884 1198605 1278512 1438326 1598140 1917768 2157489 2397210 2557024 2876652 3196280 3595815 3835536 4314978 4794420 5114048 5753304 6392560 6472467 7191630 7671072 8629956 9588840 10787445 11506608 12785120 12944934 14383260 15342144 17259912 19177680 21574890 23013216 25570240 25889868 28766520 32362335 34519824 38355360 43149780 46026432 51779736 57533040 64724670 69039648 76710720 86299560 103559472 115066080 129449340 138079296 172599120 207118944 230132160 258898680 345198240 414237888 517797360 690396480 1035594720 2071189440