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27157240 = 23511231181
BaseRepresentation
bin110011110011…
…0001011111000
31220002201201201
41213212023320
523423012430
62410023544
7446555425
oct147461370
956081651
1027157240
1114369700
129117bb4
13581b096
14386cd4c
1525b68ca
hex19e62f8

27157240 has 96 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 9504000.

The previous prime is 27157219. The next prime is 27157243. The reversal of 27157240 is 4275172.

It is a junction number, because it is equal to n+sod(n) for n = 27157199 and 27157208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27157243) 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, 149950 + ... + 150130.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 227157240 is an apocalyptic number.

27157240 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 27157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

27157240 is an abundant number, since it is smaller than the sum of its proper divisors (42556040).

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

27157240 is a wasteful number, since it uses less digits than its factorization.

27157240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 27157240 is about 5211.2608838936. The cubic root of 27157240 is about 300.5812434964.

The spelling of 27157240 in words is "twenty-seven million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 181 220 242 248 310 341 362 440 484 605 620 682 724 905 968 1210 1240 1364 1448 1705 1810 1991 2420 2728 3410 3620 3751 3982 4840 5611 6820 7240 7502 7964 9955 11222 13640 15004 15928 18755 19910 21901 22444 28055 30008 37510 39820 43802 44888 56110 61721 75020 79640 87604 109505 112220 123442 150040 175208 219010 224440 246884 308605 438020 493768 617210 678931 876040 1234420 1357862 2468840 2715724 3394655 5431448 6789310 13578620 27157240