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12705972 = 2238312757
BaseRepresentation
bin110000011110…
…000010110100
3212220112022120
4300132002310
511223042342
61132155540
7212666436
oct60360264
925815276
1012705972
117199204
124308bb0
13282b436
14198a656
1511aeaec
hexc1e0b4

12705972 has 24 divisors (see below), whose sum is σ = 30006816. Its totient is φ = 4183968.

The previous prime is 12705923. The next prime is 12705983. The reversal of 12705972 is 27950721.

It is a super-2 number, since 2×127059722 = 322883448929568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5383 + ... + 7374.

It is an arithmetic number, because the mean of its divisors is an integer number (1250284).

Almost surely, 212705972 is an apocalyptic number.

12705972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12705972 is an abundant number, since it is smaller than the sum of its proper divisors (17300844).

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

12705972 is a wasteful number, since it uses less digits than its factorization.

12705972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12847 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 12705972 is about 3564.5437295676. The cubic root of 12705972 is about 233.3472200352.

The spelling of 12705972 in words is "twelve million, seven hundred five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 12757 25514 38271 51028 76542 153084 1058831 2117662 3176493 4235324 6352986 12705972