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242663520 = 25351145959
BaseRepresentation
bin11100111011011…
…00000001100000
3121220121120202210
432131230001200
5444110213040
640025042120
76004414551
oct1635540140
9556546683
10242663520
11114a82770
1269326340
133b3742a8
142432a328
1516485480
hexe76c060

242663520 has 96 divisors (see below), whose sum is σ = 833898240. Its totient is φ = 58826240.

The previous prime is 242663513. The next prime is 242663549. The reversal of 242663520 is 25366242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 17700 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (8686440).

Almost surely, 2242663520 is an apocalyptic number.

242663520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242663520 is an abundant number, since it is smaller than the sum of its proper divisors (591234720).

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

242663520 is a wasteful number, since it uses less digits than its factorization.

242663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45988 (or 45980 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 242663520 is about 15577.6609283936. The cubic root of 242663520 is about 623.7369864608.

The spelling of 242663520 in words is "two hundred forty-two million, six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 45959 91918 137877 183836 229795 275754 367672 459590 505549 551508 689385 735344 919180 1011098 1103016 1378770 1470688 1516647 1838360 2022196 2206032 2527745 2757540 3033294 3676720 4044392 4412064 5055490 5515080 6066588 7353440 7583235 8088784 10110980 11030160 12133176 15166470 16177568 20221960 22060320 24266352 30332940 40443920 48532704 60665880 80887840 121331760 242663520