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27157000 = 2353132089
BaseRepresentation
bin110011110011…
…0001000001000
31220002201101211
41213212020020
523423011000
62410022504
7446554633
oct147461010
956081354
1027157000
1114369502
129117a34
13581ac40
14386cc1a
1525b67ba
hex19e6208

27157000 has 64 divisors (see below), whose sum is σ = 68468400. Its totient is φ = 10022400.

The previous prime is 27156989. The next prime is 27157027. The reversal of 27157000 is 75172.

It can be written as a sum of positive squares in 8 ways, for example, as 1085764 + 26071236 = 1042^2 + 5106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11956 + ... + 14044.

Almost surely, 227157000 is an apocalyptic number.

27157000 is a gapful number since it is divisible by the number (20) 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 27157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234200).

27157000 is an abundant number, since it is smaller than the sum of its proper divisors (41311400).

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

27157000 is a wasteful number, since it uses less digits than its factorization.

27157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 27157000 is about 5211.2378567860. The cubic root of 27157000 is about 300.5803580393.

The spelling of 27157000 in words is "twenty-seven million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2089 2600 3250 4178 6500 8356 10445 13000 16712 20890 27157 41780 52225 54314 83560 104450 108628 135785 208900 217256 261125 271570 417800 522250 543140 678925 1044500 1086280 1357850 2089000 2715700 3394625 5431400 6789250 13578500 27157000