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240545136 = 2431332281
BaseRepresentation
bin11100101011001…
…10110101110000
3121202121221220010
432111212311300
5443034421021
635511414520
75650412526
oct1625466560
9552557803
10240545136
11113866137
1268684440
133aab2000
1423d38316
15161b7976
hexe566d70

240545136 has 80 divisors (see below), whose sum is σ = 673463840. Its totient is φ = 73981440.

The previous prime is 240545119. The next prime is 240545161. The reversal of 240545136 is 631545042.

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, 104316 + ... + 106596.

It is an arithmetic number, because the mean of its divisors is an integer number (8418298).

Almost surely, 2240545136 is an apocalyptic number.

240545136 is a gapful number since it is divisible by the number (26) 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 240545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336731920).

240545136 is an abundant number, since it is smaller than the sum of its proper divisors (432918704).

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

240545136 is a wasteful number, since it uses less digits than its factorization.

240545136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 240545136 is about 15509.5175940453. The cubic root of 240545136 is about 621.9166632558.

The spelling of 240545136 in words is "two hundred forty million, five hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2197 2281 2704 4056 4394 4562 6591 6843 8112 8788 9124 13182 13686 17576 18248 26364 27372 29653 35152 36496 52728 54744 59306 88959 105456 109488 118612 177918 237224 355836 385489 474448 711672 770978 1156467 1423344 1541956 2312934 3083912 4625868 5011357 6167824 9251736 10022714 15034071 18503472 20045428 30068142 40090856 60136284 80181712 120272568 240545136