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107263152 = 24321514933
BaseRepresentation
bin1100110010010…
…11010010110000
321110211112101100
412121023102300
5204424410102
614351004400
72441502363
oct631132260
9243745340
10107263152
1155602437
122bb09700
13192b7729
14103620da
15963ba1c
hex664b4b0

107263152 has 60 divisors (see below), whose sum is σ = 302237104. Its totient is φ = 35510400.

The previous prime is 107263139. The next prime is 107263153. The reversal of 107263152 is 251362701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107263153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19278 + ... + 24210.

Almost surely, 2107263152 is an apocalyptic number.

107263152 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 107263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151118552).

107263152 is an abundant number, since it is smaller than the sum of its proper divisors (194973952).

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

107263152 is a wasteful number, since it uses less digits than its factorization.

107263152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107263152 is about 10356.7925536819. The cubic root of 107263152 is about 475.1348123347.

The spelling of 107263152 in words is "one hundred seven million, two hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 4933 5436 7248 9866 10872 14799 19732 21744 29598 39464 44397 59196 78928 88794 118392 177588 236784 355176 710352 744883 1489766 2234649 2979532 4469298 5959064 6703947 8938596 11918128 13407894 17877192 26815788 35754384 53631576 107263152