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107504472 = 23343731427
BaseRepresentation
bin1100110100001…
…10001101011000
321111021210102010
412122012031120
5210010120342
614400105520
72443526055
oct632061530
9244253363
10107504472
1155757779
12300052a0
131937051a
14103c602c
15968829c
hex6686358

107504472 has 64 divisors (see below), whose sum is σ = 278974080. Its totient is φ = 34497792.

The previous prime is 107504401. The next prime is 107504477. The reversal of 107504472 is 274405701.

It is a super-2 number, since 2×1075044722 = 23114422999997568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107504477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74623 + ... + 76049.

It is an arithmetic number, because the mean of its divisors is an integer number (4358970).

Almost surely, 2107504472 is an apocalyptic number.

107504472 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 107504472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139487040).

107504472 is an abundant number, since it is smaller than the sum of its proper divisors (171469608).

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

107504472 is a wasteful number, since it uses less digits than its factorization.

107504472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 107504472 is about 10368.4363334111. The cubic root of 107504472 is about 475.4908639434.

The spelling of 107504472 in words is "one hundred seven million, five hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 146 172 219 258 292 344 438 516 584 876 1032 1427 1752 2854 3139 4281 5708 6278 8562 9417 11416 12556 17124 18834 25112 34248 37668 61361 75336 104171 122722 184083 208342 245444 312513 368166 416684 490888 625026 736332 833368 1250052 1472664 2500104 4479353 8958706 13438059 17917412 26876118 35834824 53752236 107504472