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27470268 = 22327671627
BaseRepresentation
bin110100011001…
…0100110111100
31220200122010100
41220302212330
524013022033
62420441100
7452331150
oct150624674
956618110
1027470268
1114562901
129249190
1358ca6c7
143911060
152629513
hex1a329bc

27470268 has 72 divisors (see below), whose sum is σ = 80592512. Its totient is φ = 7726752.

The previous prime is 27470263. The next prime is 27470273. The reversal of 27470268 is 86207472.

It is an interprime number because it is at equal distance from previous prime (27470263) and next prime (27470273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27470263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16071 + ... + 17697.

Almost surely, 227470268 is an apocalyptic number.

27470268 is a gapful number since it is divisible by the number (28) 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 27470268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40296256).

27470268 is an abundant number, since it is smaller than the sum of its proper divisors (53122244).

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

27470268 is a wasteful number, since it uses less digits than its factorization.

27470268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27470268 is about 5241.2086392358. The cubic root of 27470268 is about 301.7317179426.

The spelling of 27470268 in words is "twenty-seven million, four hundred seventy thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1627 1876 2412 2814 3254 4221 4881 5628 6508 8442 9762 11389 14643 16884 19524 22778 29286 34167 45556 58572 68334 102501 109009 136668 205002 218018 327027 410004 436036 654054 763063 981081 1308108 1526126 1962162 2289189 3052252 3924324 4578378 6867567 9156756 13735134 27470268