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2104983936 = 27341118457
BaseRepresentation
bin111110101110111…
…1000000110000000
312102200220021010000
41331131320012000
513302333441221
6544513040000
7103110032256
oct17535700600
95380807100
102104983936
11990232650
124a8b56000
13277144533
1415d7c65d6
15c4bede26
hex7d778180

2104983936 has 160 divisors (see below), whose sum is σ = 6834259080. Its totient is φ = 637839360.

The previous prime is 2104983899. The next prime is 2104983949. The reversal of 2104983936 is 6393894012.

It is a happy number.

2104983936 is a `hidden beast` number, since 210 + 49 + 8 + 393 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2104983891 and 2104983900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104820 + ... + 123276.

Almost surely, 22104983936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417129540).

2104983936 is an abundant number, since it is smaller than the sum of its proper divisors (4729275144).

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

2104983936 is a wasteful number, since it uses less digits than its factorization.

2104983936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2104983936 is about 45880.1039231604. The cubic root of 2104983936 is about 1281.5914320010.

The spelling of 2104983936 in words is "two billion, one hundred four million, nine hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 18457 19008 28512 36914 38016 55371 57024 73828 110742 114048 147656 166113 203027 221484 295312 332226 406054 442968 498339 590624 609081 664452 812108 885936 996678 1181248 1218162 1328904 1495017 1624216 1771872 1827243 1993356 2362496 2436324 2657808 2990034 3248432 3543744 3654486 3986712 4872648 5315616 5481729 5980068 6496864 7087488 7308972 7973424 9745296 10631232 10963458 11960136 12993728 14617944 15946848 16445187 19490592 21262464 21926916 23920272 25987456 29235888 31893696 32890374 38981184 43853832 47840544 58471776 63787392 65780748 77962368 87707664 95681088 116943552 131561496 175415328 191362176 233887104 263122992 350830656 526245984 701661312 1052491968 2104983936