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27038130 = 2357199647
BaseRepresentation
bin110011100100…
…1000110110010
31212212200100020
41213021012302
523410210010
62403304310
7445551240
oct147110662
955780306
1027038130
1114298169
12907b096
1357a8ac2
14383b790
152591470
hex19c91b2

27038130 has 64 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 6139584.

The previous prime is 27038117. The next prime is 27038131. The reversal of 27038130 is 3183072.

It is a self number, because there is not a number n which added to its sum of digits gives 27038130.

It is not an unprimeable number, because it can be changed into a prime (27038131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41467 + ... + 42113.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 227038130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27038130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

27038130 is an abundant number, since it is smaller than the sum of its proper divisors (47611470).

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

27038130 is a wasteful number, since it uses less digits than its factorization.

27038130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 27038130 is about 5199.8201891989. The cubic root of 27038130 is about 300.1411557953.

The spelling of 27038130 in words is "twenty-seven million, thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 647 995 1194 1294 1393 1941 1990 2786 2985 3235 3882 4179 4529 5970 6470 6965 8358 9058 9705 13587 13930 19410 20895 22645 27174 41790 45290 67935 128753 135870 257506 386259 643765 772518 901271 1287530 1802542 1931295 2703813 3862590 4506355 5407626 9012710 13519065 27038130