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107435152 = 24116110007
BaseRepresentation
bin1100110011101…
…01010010010000
321111011021022201
412121311102100
5210000411102
614354412544
72443120006
oct631652220
9244137281
10107435152
115570a690
122bb91154
1319347ac6
14103a8a76
159672987
hex6675490

107435152 has 40 divisors (see below), whose sum is σ = 230824512. Its totient is φ = 48028800.

The previous prime is 107435147. The next prime is 107435171. The reversal of 107435152 is 251534701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 107435152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5733 + ... + 15739.

Almost surely, 2107435152 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 107435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115412256).

107435152 is an abundant number, since it is smaller than the sum of its proper divisors (123389360).

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

107435152 is a wasteful number, since it uses less digits than its factorization.

107435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 107435152 is about 10365.0929566502. The cubic root of 107435152 is about 475.3886414865.

Adding to 107435152 its reverse (251534701), we get a palindrome (358969853).

The spelling of 107435152 in words is "one hundred seven million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10007 10736 20014 40028 80056 110077 160112 220154 440308 610427 880616 1220854 1761232 2441708 4883416 6714697 9766832 13429394 26858788 53717576 107435152