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27134976 = 210311273
BaseRepresentation
bin110011110000…
…0110000000000
31220001121012010
41213200300000
523421304401
62405332520
7446433501
oct147406000
956047163
1027134976
1114353a00
129107140
135810bcb
143864ba8
1525aeed6
hex19e0c00

27134976 has 132 divisors (see below), whose sum is σ = 80586296. Its totient is φ = 8110080.

The previous prime is 27134969. The next prime is 27135001. The reversal of 27134976 is 67943172.

It is a tau number, because it is divible by the number of its divisors (132).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371676 + ... + 371748.

Almost surely, 227134976 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 27134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40293148).

27134976 is an abundant number, since it is smaller than the sum of its proper divisors (53451320).

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

27134976 is a wasteful number, since it uses less digits than its factorization.

27134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 27134976 is about 5209.1243026060. The cubic root of 27134976 is about 300.4990803799.

The spelling of 27134976 in words is "twenty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 121 128 132 146 176 192 219 242 256 264 292 352 363 384 438 484 512 528 584 704 726 768 803 876 968 1024 1056 1168 1408 1452 1536 1606 1752 1936 2112 2336 2409 2816 2904 3072 3212 3504 3872 4224 4672 4818 5632 5808 6424 7008 7744 8448 8833 9344 9636 11264 11616 12848 14016 15488 16896 17666 18688 19272 23232 25696 26499 28032 30976 33792 35332 37376 38544 46464 51392 52998 56064 61952 70664 74752 77088 92928 102784 105996 112128 123904 141328 154176 185856 205568 211992 224256 282656 308352 371712 411136 423984 565312 616704 822272 847968 1130624 1233408 1695936 2261248 2466816 3391872 4522496 6783744 9044992 13567488 27134976