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27074336 = 2517157317
BaseRepresentation
bin110011101000…
…1111100100000
31212221112000012
41213101330200
523412334321
62404144052
7446061632
oct147217440
955845005
1027074336
1114312393
129098028
1357bc423
14384aa52
15259c05b
hex19d1f20

27074336 has 48 divisors (see below), whose sum is σ = 56976696. Its totient is φ = 12619776.

The previous prime is 27074329. The next prime is 27074339. The reversal of 27074336 is 63347072.

It can be written as a sum of positive squares in 4 ways, for example, as 17808400 + 9265936 = 4220^2 + 3044^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (27074339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85250 + ... + 85566.

Almost surely, 227074336 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 27074336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28488348).

27074336 is an abundant number, since it is smaller than the sum of its proper divisors (29902360).

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

27074336 is a wasteful number, since it uses less digits than its factorization.

27074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 27074336 is about 5203.3004910345. The cubic root of 27074336 is about 300.2750662367.

The spelling of 27074336 in words is "twenty-seven million, seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 272 314 317 544 628 634 1256 1268 2512 2536 2669 5024 5072 5338 5389 10144 10676 10778 21352 21556 42704 43112 49769 85408 86224 99538 172448 199076 398152 796304 846073 1592608 1692146 3384292 6768584 13537168 27074336