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111928005 = 32572232207
BaseRepresentation
bin1101010101111…
…10001011000101
321210121112100200
412222332023011
5212123144010
615035001113
72526241500
oct652761305
9253545320
10111928005
11581a9192
1231599199
131a25bab7
1410c18137
159c5dcc0
hex6abe2c5

111928005 has 72 divisors (see below), whose sum is σ = 235602432. Its totient is φ = 48920256.

The previous prime is 111928001. The next prime is 111928013. The reversal of 111928005 is 500829111.

It is not a de Polignac number, because 111928005 - 22 = 111928001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111928005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111928001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49612 + ... + 51818.

It is an arithmetic number, because the mean of its divisors is an integer number (3272256).

Almost surely, 2111928005 is an apocalyptic number.

111928005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111928005 is an abundant number, since it is smaller than the sum of its proper divisors (123674427).

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

111928005 is a wasteful number, since it uses less digits than its factorization.

111928005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 111928005 is about 10579.6032534306. The cubic root of 111928005 is about 481.9251460580.

The spelling of 111928005 in words is "one hundred eleven million, nine hundred twenty-eight thousand, five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1127 1449 2205 2207 2415 3381 5635 6621 7245 10143 11035 15449 16905 19863 33105 46347 50715 50761 77245 99315 108143 139041 152283 231735 253805 324429 355327 456849 540715 695205 761415 973287 1065981 1622145 1776635 2284245 2487289 3197943 4866435 5329905 7461867 12436445 15989715 22385601 37309335 111928005