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242515240 = 235111929009
BaseRepresentation
bin11100111010001…
…11110100101000
3121220100001100221
432131013310220
5444040441430
640021535424
76003226342
oct1635076450
9556301327
10242515240
11114991320
1269274574
133b321956
14242cc292
151645657a
hexe747d28

242515240 has 64 divisors (see below), whose sum is σ = 626616000. Its totient is φ = 83543040.

The previous prime is 242515237. The next prime is 242515261. The reversal of 242515240 is 42515242.

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, 6145 + ... + 22864.

It is an arithmetic number, because the mean of its divisors is an integer number (9790875).

Almost surely, 2242515240 is an apocalyptic number.

242515240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242515240 is an abundant number, since it is smaller than the sum of its proper divisors (384100760).

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

242515240 is a wasteful number, since it uses less digits than its factorization.

242515240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29050 (or 29046 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 242515240 is about 15572.9008216196. The cubic root of 242515240 is about 623.6099153556.

The spelling of 242515240 in words is "two hundred forty-two million, five hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 29009 58018 116036 145045 232072 290090 319099 551171 580180 638198 1102342 1160360 1276396 1595495 2204684 2552792 2755855 3190990 4409368 5511710 6062881 6381980 11023420 12125762 12763960 22046840 24251524 30314405 48503048 60628810 121257620 242515240