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107667952 = 2472933149
BaseRepresentation
bin1100110101011…
…10000111110000
321111121002122221
412122232013300
5210030333302
614403410424
72445106510
oct632560760
9244532587
10107667952
1155859587
1230083a14
13193c9a62
1410429840
1596bb937
hex66ae1f0

107667952 has 40 divisors (see below), whose sum is σ = 246636000. Its totient is φ = 44550912.

The previous prime is 107667947. The next prime is 107667971. The reversal of 107667952 is 259766701.

It is a junction number, because it is equal to n+sod(n) for n = 107667899 and 107667908.

It is a congruent number.

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, 13327 + ... + 19822.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2107667952 is an apocalyptic number.

It is an amenable number.

107667952 is an abundant number, since it is smaller than the sum of its proper divisors (138968048).

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

107667952 is a wasteful number, since it uses less digits than its factorization.

107667952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33193 (or 33187 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 107667952 is about 10376.3168802808. The cubic root of 107667952 is about 475.7317651690.

The spelling of 107667952 in words is "one hundred seven million, six hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 33149 66298 132596 232043 265192 464086 530384 928172 961321 1856344 1922642 3712688 3845284 6729247 7690568 13458494 15381136 26916988 53833976 107667952