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123007152 = 24317314813
BaseRepresentation
bin1110101010011…
…11000010110000
322120110102002110
413111033002300
5222442212102
620112245320
73022354302
oct725170260
9276412073
10123007152
1163486104
1235240840
131c63a8c8
141249d972
15abeb86c
hex754f0b0

123007152 has 40 divisors (see below), whose sum is σ = 319626864. Its totient is φ = 40762624.

The previous prime is 123007147. The next prime is 123007169. The reversal of 123007152 is 251700321.

It is a super-2 number, since 2×1230071522 = 30261518886302208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 15710.

Almost surely, 2123007152 is an apocalyptic number.

123007152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123007152 is an abundant number, since it is smaller than the sum of its proper divisors (196619712).

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

123007152 is a wasteful number, since it uses less digits than its factorization.

123007152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997 (or 14991 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 123007152 is about 11090.8589387838. The cubic root of 123007152 is about 497.3286222332.

Adding to 123007152 its reverse (251700321), we get a palindrome (374707473).

The spelling of 123007152 in words is "one hundred twenty-three million, seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4152 8304 14813 29626 44439 59252 88878 118504 177756 237008 355512 711024 2562649 5125298 7687947 10250596 15375894 20501192 30751788 41002384 61503576 123007152