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12310872 = 2337127577
BaseRepresentation
bin101110111101…
…100101011000
3212011110100020
4232331211120
511122421442
61115510440
7206432520
oct56754530
925143306
1012310872
116a49382
124158420
132720652
1418c6680
1511329ec
hexbbd958

12310872 has 64 divisors (see below), whose sum is σ = 35512320. Its totient is φ = 3483648.

The previous prime is 12310871. The next prime is 12310889. The reversal of 12310872 is 27801321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21048 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (554880).

Almost surely, 212310872 is an apocalyptic number.

12310872 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 12310872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756160).

12310872 is an abundant number, since it is smaller than the sum of its proper divisors (23201448).

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

12310872 is a wasteful number, since it uses less digits than its factorization.

12310872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12310872 is about 3508.6852238410. The cubic root of 12310872 is about 230.9030158268.

The spelling of 12310872 in words is "twelve million, three hundred ten thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 577 762 889 1016 1154 1524 1731 1778 2308 2667 3048 3462 3556 4039 4616 5334 6924 7112 8078 10668 12117 13848 16156 21336 24234 32312 48468 73279 96936 146558 219837 293116 439674 512953 586232 879348 1025906 1538859 1758696 2051812 3077718 4103624 6155436 12310872