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268962460 = 2251323411097
BaseRepresentation
bin10000000010000…
…000101010011100
3200202002201010121
4100002000222130
51022323244320
642404444324
76444100054
oct2002005234
9622081117
10268962460
11128905528
12760a96a4
13439517b0
1427a14564
151892c8aa
hex10080a9c

268962460 has 96 divisors (see below), whose sum is σ = 650788992. Its totient is φ = 92590080.

The previous prime is 268962427. The next prime is 268962469. The reversal of 268962460 is 64269862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268962469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244632 + ... + 245728.

It is an arithmetic number, because the mean of its divisors is an integer number (6779052).

Almost surely, 2268962460 is an apocalyptic number.

268962460 is a gapful number since it is divisible by the number (20) 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 268962460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325394496).

268962460 is an abundant number, since it is smaller than the sum of its proper divisors (381826532).

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

268962460 is a wasteful number, since it uses less digits than its factorization.

268962460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 268962460 is about 16400.0749998285. The cubic root of 268962460 is about 645.5014508843.

The spelling of 268962460 in words is "two hundred sixty-eight million, nine hundred sixty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 41 46 52 65 82 92 115 130 164 205 230 260 299 410 460 533 598 820 943 1066 1097 1196 1495 1886 2132 2194 2665 2990 3772 4388 4715 5330 5485 5980 9430 10660 10970 12259 14261 18860 21940 24518 25231 28522 44977 49036 50462 57044 61295 71305 89954 100924 122590 126155 142610 179908 224885 245180 252310 285220 328003 449770 504620 584701 656006 899540 1034471 1169402 1312012 1640015 2068942 2338804 2923505 3280030 4137884 5172355 5847010 6560060 10344710 11694020 13448123 20689420 26896246 53792492 67240615 134481230 268962460