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107681472 = 2632186947
BaseRepresentation
bin1100110101100…
…01011011000000
321111121210012200
412122301123000
5210031301342
614403553200
72445164103
oct632613300
9244553180
10107681472
1155868758
123008b800
1319402c62
141043073a
1596c094c
hex66b16c0

107681472 has 42 divisors (see below), whose sum is σ = 308651148. Its totient is φ = 35893632.

The previous prime is 107681467. The next prime is 107681473. The reversal of 107681472 is 274186701.

107681472 is a `hidden beast` number, since 107 + 6 + 81 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107681473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92898 + ... + 94049.

Almost surely, 2107681472 is an apocalyptic number.

107681472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107681472 is an abundant number, since it is smaller than the sum of its proper divisors (200969676).

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

107681472 is a wasteful number, since it uses less digits than its factorization.

107681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186965 (or 186952 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107681472 is about 10376.9683434036. The cubic root of 107681472 is about 475.7516770807.

The spelling of 107681472 in words is "one hundred seven million, six hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 186947 373894 560841 747788 1121682 1495576 1682523 2243364 2991152 3365046 4486728 5982304 6730092 8973456 11964608 13460184 17946912 26920368 35893824 53840736 107681472