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27130068 = 22327199541
BaseRepresentation
bin110011101111…
…1100011010100
31220001100110100
41213133203110
523421130233
62405254100
7446413260
oct147374324
956040410
1027130068
1114350249
129104330
13580b8c4
1438630a0
1525ad813
hex19df8d4

27130068 has 72 divisors (see below), whose sum is σ = 78915200. Its totient is φ = 7698240.

The previous prime is 27130067. The next prime is 27130073. The reversal of 27130068 is 86003172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27130063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49878 + ... + 50418.

Almost surely, 227130068 is an apocalyptic number.

27130068 is a gapful number since it is divisible by the number (28) 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 27130068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39457600).

27130068 is an abundant number, since it is smaller than the sum of its proper divisors (51785132).

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

27130068 is a wasteful number, since it uses less digits than its factorization.

27130068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27130068 is about 5208.6531848454. The cubic root of 27130068 is about 300.4809618403.

The spelling of 27130068 in words is "twenty-seven million, one hundred thirty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 541 597 796 1082 1194 1393 1623 1791 2164 2388 2786 3246 3582 3787 4179 4869 5572 6492 7164 7574 8358 9738 11361 12537 15148 16716 19476 22722 25074 34083 45444 50148 68166 107659 136332 215318 322977 430636 645954 753613 968931 1291908 1507226 1937862 2260839 3014452 3875724 4521678 6782517 9043356 13565034 27130068