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27472920 = 23351791279
BaseRepresentation
bin110100011001…
…1010000011000
31220200202202120
41220303100120
524013113140
62420501240
7452341656
oct150632030
956622676
1027472920
11145648a2
12924a820
1358cb987
143911dd6
15262a1d0
hex1a33418

27472920 has 64 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 7279488.

The previous prime is 27472903. The next prime is 27472943. The reversal of 27472920 is 2927472.

It is a super-2 number, since 2×274729202 = 1509522666652800, 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 15 ways as a sum of consecutive naturals, for example, 20841 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 227472920 is an apocalyptic number.

27472920 is a gapful number since it is divisible by the number (20) 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 27472920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

27472920 is an abundant number, since it is smaller than the sum of its proper divisors (55471080).

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

27472920 is a wasteful number, since it uses less digits than its factorization.

27472920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 27472920 is about 5241.4616282102. The cubic root of 27472920 is about 301.7414274313.

The spelling of 27472920 in words is "twenty-seven million, four hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1279 1432 1790 2148 2558 2685 3580 3837 4296 5116 5370 6395 7160 7674 10232 10740 12790 15348 19185 21480 25580 30696 38370 51160 76740 153480 228941 457882 686823 915764 1144705 1373646 1831528 2289410 2747292 3434115 4578820 5494584 6868230 9157640 13736460 27472920