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27020064 = 253377607
BaseRepresentation
bin110011100010…
…0101100100000
31212211202120010
41213010230200
523404120224
62403044520
7445444461
oct147045440
955752503
1027020064
1114285635
129070740
1357a0806
143834d68
15258ae29
hex19c4b20

27020064 has 48 divisors (see below), whose sum is σ = 72854208. Its totient is φ = 8762112.

The previous prime is 27020023. The next prime is 27020111. The reversal of 27020064 is 46002072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27020064.

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, 252 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (1517796).

Almost surely, 227020064 is an apocalyptic number.

27020064 is a gapful number since it is divisible by the number (24) 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 27020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36427104).

27020064 is an abundant number, since it is smaller than the sum of its proper divisors (45834144).

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

27020064 is a wasteful number, since it uses less digits than its factorization.

27020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 27020064 is about 5198.0827234664. The cubic root of 27020064 is about 300.0742927116.

The spelling of 27020064 in words is "twenty-seven million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 7607 15214 22821 30428 45642 60856 91284 121712 182568 243424 281459 365136 562918 730272 844377 1125836 1688754 2251672 3377508 4503344 6755016 9006688 13510032 27020064