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12310992 = 24321747107
BaseRepresentation
bin101110111101…
…100111010000
3212011110111200
4232331213100
511122422432
61115511200
7206433051
oct56754720
925143450
1012310992
116a49481
124158500
132720715
1418c6728
151132a7c
hexbbd9d0

12310992 has 120 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 3744768.

The previous prime is 12310979. The next prime is 12310997. The reversal of 12310992 is 29901321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115003 + ... + 115109.

Almost surely, 212310992 is an apocalyptic number.

12310992 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 12310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

12310992 is an abundant number, since it is smaller than the sum of its proper divisors (25293744).

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

12310992 is a wasteful number, since it uses less digits than its factorization.

12310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12310992 is about 3508.7023242219. The cubic root of 12310992 is about 230.9037660653.

It can be divided in two parts, 123109 and 92, that added together give a square (123201 = 3512).

The spelling of 12310992 in words is "twelve million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 47 48 51 68 72 94 102 107 136 141 144 153 188 204 214 272 282 306 321 376 408 423 428 564 612 642 752 799 816 846 856 963 1128 1224 1284 1598 1692 1712 1819 1926 2256 2397 2448 2568 3196 3384 3638 3852 4794 5029 5136 5457 6392 6768 7191 7276 7704 9588 10058 10914 12784 14382 14552 15087 15408 16371 19176 20116 21828 28764 29104 30174 32742 38352 40232 43656 45261 57528 60348 65484 80464 85493 87312 90522 115056 120696 130968 170986 181044 241392 256479 261936 341972 362088 512958 683944 724176 769437 1025916 1367888 1538874 2051832 3077748 4103664 6155496 12310992