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240890272 = 2573171291
BaseRepresentation
bin11100101101110…
…11000110100000
3121210021111022221
432112323012200
5443131442042
635523040424
75653351000
oct1626730640
9553244287
10240890272
11113a81477
1268810114
133aba312c
1423dc8000
1516234d67
hexe5bb1a0

240890272 has 96 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 97090560.

The previous prime is 240890263. The next prime is 240890297. The reversal of 240890272 is 272098042.

240890272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 185947 + ... + 187237.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2240890272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

240890272 is an abundant number, since it is smaller than the sum of its proper divisors (345160928).

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

240890272 is a wasteful number, since it uses less digits than its factorization.

240890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 240890272 is about 15520.6401929817. The cubic root of 240890272 is about 622.2139647052.

The spelling of 240890272 in words is "two hundred forty million, eight hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 343 392 476 544 686 784 833 952 1291 1372 1568 1666 1904 2582 2744 3332 3808 5164 5488 5831 6664 9037 10328 10976 11662 13328 18074 20656 21947 23324 26656 36148 41312 43894 46648 63259 72296 87788 93296 126518 144592 153629 175576 186592 253036 289184 307258 351152 442813 506072 614516 702304 885626 1012144 1075403 1229032 1771252 2024288 2150806 2458064 3542504 4301612 4916128 7085008 7527821 8603224 14170016 15055642 17206448 30111284 34412896 60222568 120445136 240890272