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27077076 = 223213471231
BaseRepresentation
bin110011101001…
…0100111010100
31212221122202200
41213102213110
523412431301
62404204500
7446102625
oct147224724
955848680
1027077076
1114314454
129099730
1357c0750
14384ba4c
15259cc86
hex19d29d4

27077076 has 72 divisors (see below), whose sum is σ = 75339264. Its totient is φ = 8147520.

The previous prime is 27077069. The next prime is 27077077. The reversal of 27077076 is 67077072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27077076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27077077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381 + ... + 22611.

Almost surely, 227077076 is an apocalyptic number.

27077076 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 27077076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37669632).

27077076 is an abundant number, since it is smaller than the sum of its proper divisors (48262188).

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

27077076 is a wasteful number, since it uses less digits than its factorization.

27077076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 27077076 is about 5203.5637787962. The cubic root of 27077076 is about 300.2851954593.

The spelling of 27077076 in words is "twenty-seven million, seventy-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1231 1692 1833 2444 2462 3666 3693 4924 5499 7332 7386 10998 11079 14772 16003 21996 22158 32006 44316 48009 57857 64012 96018 115714 144027 173571 192036 231428 288054 347142 520713 576108 694284 752141 1041426 1504282 2082852 2256423 3008564 4512846 6769269 9025692 13538538 27077076