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107894052 = 22337433319
BaseRepresentation
bin1100110111001…
…01010100100100
321112000120211000
412123211110210
5210110102202
614412313300
72450040630
oct633452444
9245016730
10107894052
11559a3442
1230172830
1319478946
1410487dc0
15971391c
hex66e5524

107894052 has 96 divisors (see below), whose sum is σ = 327219200. Its totient is φ = 30100896.

The previous prime is 107894051. The next prime is 107894057. The reversal of 107894052 is 250498701.

It is a super-2 number, since 2×1078940522 = 23282252913957408, which contains 22 as substring.

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 = 107893998 and 107894016.

It is not an unprimeable number, because it can be changed into a prime (107894051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30849 + ... + 34167.

Almost surely, 2107894052 is an apocalyptic number.

107894052 is a gapful number since it is divisible by the number (12) 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 107894052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163609600).

107894052 is an abundant number, since it is smaller than the sum of its proper divisors (219325148).

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

107894052 is a wasteful number, since it uses less digits than its factorization.

107894052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107894052 is about 10387.2061691294. The cubic root of 107894052 is about 476.0645405977.

It can be divided in two parts, 10789 and 4052, that added together give a palindrome (14841).

The spelling of 107894052 in words is "one hundred seven million, eight hundred ninety-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3319 3612 4644 5418 6638 8127 9957 10836 13276 16254 19914 23233 29871 32508 39828 46466 59742 69699 89613 92932 119484 139398 142717 179226 209097 278796 285434 358452 418194 428151 570868 627291 836388 856302 999019 1254582 1284453 1712604 1998038 2509164 2568906 2997057 3853359 3996076 5137812 5994114 7706718 8991171 11988228 15413436 17982342 26973513 35964684 53947026 107894052