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12709368 = 23327151167
BaseRepresentation
bin110000011110…
…110111111000
3212220200222100
4300132313320
511223144433
61132223400
7213012360
oct60366770
925820870
1012709368
1171a0811
12430ab60
13282cb49
14198b9a0
1511b0b13
hexc1edf8

12709368 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3585600.

The previous prime is 12709357. The next prime is 12709379. The reversal of 12709368 is 86390721.

It is an interprime number because it is at equal distance from previous prime (12709357) and next prime (12709379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76021 + ... + 76187.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 212709368 is an apocalyptic number.

12709368 is a gapful number since it is divisible by the number (18) 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 12709368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12709368 is an abundant number, since it is smaller than the sum of its proper divisors (27126792).

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

12709368 is a wasteful number, since it uses less digits than its factorization.

12709368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12709368 is about 3565.0200560446. The cubic root of 12709368 is about 233.3680075454.

The spelling of 12709368 in words is "twelve million, seven hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 167 168 252 302 334 453 501 504 604 668 906 1002 1057 1169 1208 1336 1359 1503 1812 2004 2114 2338 2718 3006 3171 3507 3624 4008 4228 4676 5436 6012 6342 7014 8456 9352 9513 10521 10872 12024 12684 14028 19026 21042 25217 25368 28056 38052 42084 50434 75651 76104 84168 100868 151302 176519 201736 226953 302604 353038 453906 529557 605208 706076 907812 1059114 1412152 1588671 1815624 2118228 3177342 4236456 6354684 12709368