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2079930480 = 243523478017
BaseRepresentation
bin111101111111001…
…0011100001110000
312100221202102020020
41323332103201300
513224430233410
6542220043440
7102354055155
oct17376234160
95327672206
102079930480
11978080611
124a0693580
13271bb1bc4
1415a34422c
15c2900a70
hex7bf93870

2079930480 has 160 divisors (see below), whose sum is σ = 6872131584. Its totient is φ = 519180288.

The previous prime is 2079930473. The next prime is 2079930487. The reversal of 2079930480 is 840399702.

It is an interprime number because it is at equal distance from previous prime (2079930473) and next prime (2079930487).

It is a super-2 number, since 2×20799304802 = 8652221603266060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079930487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255432 + ... + 263448.

Almost surely, 22079930480 is an apocalyptic number.

2079930480 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 2079930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436065792).

2079930480 is an abundant number, since it is smaller than the sum of its proper divisors (4792201104).

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

2079930480 is a wasteful number, since it uses less digits than its factorization.

2079930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2079930480 is about 45606.2548341782. The cubic root of 2079930480 is about 1276.4866380847.

The spelling of 2079930480 in words is "two billion, seventy-nine million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 460 470 552 564 690 705 752 920 940 1081 1104 1128 1380 1410 1840 1880 2162 2256 2760 2820 3243 3760 4324 5405 5520 5640 6486 8017 8648 10810 11280 12972 16034 16215 17296 21620 24051 25944 32068 32430 40085 43240 48102 51888 64136 64860 80170 86480 96204 120255 128272 129720 160340 184391 192408 240510 259440 320680 368782 376799 384816 481020 553173 641360 737564 753598 921955 962040 1106346 1130397 1475128 1507196 1843910 1883995 1924080 2212692 2260794 2765865 2950256 3014392 3687820 3767990 4425384 4521588 5531730 5651985 6028784 7375640 7535980 8666377 8850768 9043176 11063460 11303970 14751280 15071960 17332754 18086352 22126920 22607940 25999131 30143920 34665508 43331885 44253840 45215880 51998262 69331016 86663770 90431760 103996524 129995655 138662032 173327540 207993048 259991310 346655080 415986096 519982620 693310160 1039965240 2079930480