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268328520 = 23325745357
BaseRepresentation
bin11111111111001…
…01111001001000
3200200220111112100
433333211321020
51022143003040
642343113400
76435516615
oct1777457110
9620814470
10268328520
11128512209
1275a42860
134378c095
14278cb50c
1518854b30
hexffe5e48

268328520 has 48 divisors (see below), whose sum is σ = 872068860. Its totient is φ = 71554176.

The previous prime is 268328399. The next prime is 268328531. The reversal of 268328520 is 25823862.

It can be written as a sum of positive squares in 2 ways, for example, as 266538276 + 1790244 = 16326^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 372319 + ... + 373038.

Almost surely, 2268328520 is an apocalyptic number.

268328520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268328520 is an abundant number, since it is smaller than the sum of its proper divisors (603740340).

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

268328520 is a wasteful number, since it uses less digits than its factorization.

268328520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745374 (or 745367 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268328520 is about 16380.7362471899. The cubic root of 268328520 is about 644.9939065586.

The spelling of 268328520 in words is "two hundred sixty-eight million, three hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 745357 1490714 2236071 2981428 3726785 4472142 5962856 6708213 7453570 8944284 11180355 13416426 14907140 17888568 22360710 26832852 29814280 33541065 44721420 53665704 67082130 89442840 134164260 268328520