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27341132 = 22713312423
BaseRepresentation
bin110100001001…
…1000101001100
31220110001222112
41220103011030
523444404012
62414003152
7451252520
oct150230514
956401875
1027341132
1114484885
1291a64b8
1358839b0
1438b9d80
152601122
hex1a1314c

27341132 has 48 divisors (see below), whose sum is σ = 60813312. Its totient is φ = 10463040.

The previous prime is 27341123. The next prime is 27341143. The reversal of 27341132 is 23114372.

It is a junction number, because it is equal to n+sod(n) for n = 27341098 and 27341107.

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, 10073 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (1266944).

Almost surely, 227341132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27341132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30406656).

27341132 is an abundant number, since it is smaller than the sum of its proper divisors (33472180).

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

27341132 is a wasteful number, since it uses less digits than its factorization.

27341132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 27341132 is about 5228.8748311659. The cubic root of 27341132 is about 301.2581678542.

The spelling of 27341132 in words is "twenty-seven million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2423 2821 4846 5642 9692 11284 16961 31499 33922 62998 67844 75113 125996 150226 220493 300452 440986 525791 881972 976469 1051582 1952938 2103164 3905876 6835283 13670566 27341132