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268513520 = 24511227739
BaseRepresentation
bin10000000000010…
…011000011110000
3200201020220022012
4100000103003300
51022214413040
642351102052
76440220152
oct2000230360
9621226265
10268513520
11128629200
1275b11928
1343825352
1427938ad2
151888e865
hex100130f0

268513520 has 60 divisors (see below), whose sum is σ = 686232120. Its totient is φ = 97637760.

The previous prime is 268513519. The next prime is 268513571. The reversal of 268513520 is 25315862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4190 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (11437202).

Almost surely, 2268513520 is an apocalyptic number.

268513520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268513520 is an abundant number, since it is smaller than the sum of its proper divisors (417718600).

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

268513520 is a wasteful number, since it uses less digits than its factorization.

268513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27774 (or 27757 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 268513520 is about 16386.3821510424. The cubic root of 268513520 is about 645.1421035778.

The spelling of 268513520 in words is "two hundred sixty-eight million, five hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 27739 55478 110956 138695 221912 277390 305129 443824 554780 610258 1109560 1220516 1525645 2219120 2441032 3051290 3356419 4882064 6102580 6712838 12205160 13425676 16782095 24410320 26851352 33564190 53702704 67128380 134256760 268513520