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2107043604 = 223429673347
BaseRepresentation
bin111110110010110…
…1110111100010100
312102211202220110000
41331211232330110
513303400343404
6545025131300
7103133401161
oct17545567424
95384686400
102107043604
1199140a056
124a9789b30
132776b5b83
1415dba1068
15c4ea9339
hex7d96ef14

2107043604 has 120 divisors (see below), whose sum is σ = 5784942240. Its totient is φ = 667808064.

The previous prime is 2107043591. The next prime is 2107043629. The reversal of 2107043604 is 4063407012.

2107043604 is a `hidden beast` number, since 2 + 10 + 7 + 0 + 43 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 627859 + ... + 631205.

It is an arithmetic number, because the mean of its divisors is an integer number (48207852).

Almost surely, 22107043604 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 2107043604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892471120).

2107043604 is an abundant number, since it is smaller than the sum of its proper divisors (3677898636).

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

2107043604 is a wasteful number, since it uses less digits than its factorization.

2107043604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2107043604 is about 45902.5446353467. The cubic root of 2107043604 is about 1282.0092962171.

The spelling of 2107043604 in words is "two billion, one hundred seven million, forty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 67 81 87 108 116 134 162 174 201 261 268 324 348 402 522 603 783 804 1044 1206 1566 1809 1943 2349 2412 3132 3347 3618 3886 4698 5427 5829 6694 7236 7772 9396 10041 10854 11658 13388 17487 20082 21708 23316 30123 34974 40164 52461 60246 69948 90369 97063 104922 120492 157383 180738 194126 209844 224249 271107 291189 314766 361476 388252 448498 542214 582378 629532 672747 873567 896996 1084428 1164756 1345494 1747134 2018241 2620701 2690988 3494268 4036482 5241402 6054723 6503221 7862103 8072964 10482804 12109446 13006442 15724206 18164169 19509663 24218892 26012884 31448412 36328338 39019326 58528989 72656676 78038652 117057978 175586967 234115956 351173934 526760901 702347868 1053521802 2107043604