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27134464 = 29767113
BaseRepresentation
bin110011110000…
…0101000000000
31220001120111011
41213200220000
523421300324
62405330304
7446432140
oct147405000
956046434
1027134464
1114353585
129106994
1358108c6
143864920
1525aec94
hex19e0a00

27134464 has 80 divisors (see below), whose sum is σ = 63442368. Its totient is φ = 11354112.

The previous prime is 27134453. The next prime is 27134473. The reversal of 27134464 is 46443172.

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, 240072 + ... + 240184.

Almost surely, 227134464 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 27134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721184).

27134464 is an abundant number, since it is smaller than the sum of its proper divisors (36307904).

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

27134464 is an equidigital number, since it uses as much as digits as its factorization.

27134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 27134464 is about 5209.0751578375. The cubic root of 27134464 is about 300.4971903654.

The spelling of 27134464 in words is "twenty-seven million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 113 128 134 224 226 256 268 448 452 469 512 536 791 896 904 938 1072 1582 1792 1808 1876 2144 3164 3584 3616 3752 4288 6328 7232 7504 7571 8576 12656 14464 15008 15142 17152 25312 28928 30016 30284 34304 50624 52997 57856 60032 60568 101248 105994 120064 121136 202496 211988 240128 242272 404992 423976 484544 847952 969088 1695904 1938176 3391808 3876352 6783616 13567232 27134464