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107212752 = 24322332371
BaseRepresentation
bin1100110001111…
…10111111010000
321110201222020200
412120332333100
5204421302002
614345535200
72441202423
oct630767720
9243658220
10107212752
1155578589
122baa4500
131929a7ca
141034b9ba
15962bb1c
hex663efd0

107212752 has 60 divisors (see below), whose sum is σ = 313101984. Its totient is φ = 34182720.

The previous prime is 107212751. The next prime is 107212753. The reversal of 107212752 is 257212701.

It is an interprime number because it is at equal distance from previous prime (107212751) and next prime (107212753).

It is a super-2 number, since 2×1072127522 = 22989148382827008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107212751) 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, 12874 + ... + 19497.

Almost surely, 2107212752 is an apocalyptic number.

107212752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107212752 is an abundant number, since it is smaller than the sum of its proper divisors (205889232).

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

107212752 is a wasteful number, since it uses less digits than its factorization.

107212752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32408 (or 32399 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 107212752 is about 10354.3590820485. The cubic root of 107212752 is about 475.0603830900.

It can be divided in two parts, 1072 and 12752, that added together give a cube (13824 = 243).

The spelling of 107212752 in words is "one hundred seven million, two hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 32371 64742 97113 129484 194226 258968 291339 388452 517936 582678 744533 776904 1165356 1489066 1553808 2233599 2330712 2978132 4467198 4661424 5956264 6700797 8934396 11912528 13401594 17868792 26803188 35737584 53606376 107212752