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27213056 = 281321737
BaseRepresentation
bin110011111001…
…1110100000000
31220012120021222
41213303310000
523431304211
62411134212
7450210233
oct147636400
956176258
1027213056
11143a7632
129144368
13583a600
14388541a
1525c81db
hex19f3d00

27213056 has 108 divisors (see below), whose sum is σ = 63962892. Its totient is φ = 11501568.

The previous prime is 27213041. The next prime is 27213061. The reversal of 27213056 is 65031272.

It can be written as a sum of positive squares in 6 ways, for example, as 6400 + 27206656 = 80^2 + 5216^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 735470 + ... + 735506.

It is an arithmetic number, because the mean of its divisors is an integer number (592249).

Almost surely, 227213056 is an apocalyptic number.

27213056 is a gapful number since it is divisible by the number (26) 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 27213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981446).

27213056 is an abundant number, since it is smaller than the sum of its proper divisors (36749836).

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

27213056 is a wasteful number, since it uses less digits than its factorization.

27213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 27213056 is about 5216.6134608575. The cubic root of 27213056 is about 300.7870297712.

The spelling of 27213056 in words is "twenty-seven million, two hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 128 136 148 169 208 221 256 272 296 338 416 442 481 544 592 629 676 832 884 962 1088 1184 1258 1352 1664 1768 1924 2176 2368 2516 2704 2873 3328 3536 3848 4352 4736 5032 5408 5746 6253 7072 7696 8177 9472 10064 10816 11492 12506 14144 15392 16354 20128 21632 22984 25012 28288 30784 32708 40256 43264 45968 50024 56576 61568 65416 80512 91936 100048 106301 123136 130832 161024 183872 200096 212602 261664 367744 400192 425204 523328 735488 800384 850408 1046656 1600768 1700816 2093312 3401632 6803264 13606528 27213056