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12920472 = 2334127157
BaseRepresentation
bin110001010010…
…011010011000
3220022102120000
4301102122120
511301423342
61140533000
7214552005
oct61223230
926272500
1012920472
117325384
1243b1160
1328a4c66
141a048ac
15120344c
hexc52698

12920472 has 80 divisors (see below), whose sum is σ = 36706560. Its totient is φ = 4245696.

The previous prime is 12920461. The next prime is 12920483. The reversal of 12920472 is 27402921.

It is an interprime number because it is at equal distance from previous prime (12920461) and next prime (12920483).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82218 + ... + 82374.

It is an arithmetic number, because the mean of its divisors is an integer number (458832).

Almost surely, 212920472 is an apocalyptic number.

12920472 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 12920472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353280).

12920472 is an abundant number, since it is smaller than the sum of its proper divisors (23786088).

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

12920472 is a wasteful number, since it uses less digits than its factorization.

12920472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12920472 is about 3594.5058074790. The cubic root of 12920472 is about 234.6530083448.

The spelling of 12920472 in words is "twelve million, nine hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 157 162 216 254 314 324 381 471 508 628 648 762 942 1016 1143 1256 1413 1524 1884 2286 2826 3048 3429 3768 4239 4572 5652 6858 8478 9144 10287 11304 12717 13716 16956 19939 20574 25434 27432 33912 39878 41148 50868 59817 79756 82296 101736 119634 159512 179451 239268 358902 478536 538353 717804 1076706 1435608 1615059 2153412 3230118 4306824 6460236 12920472