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268904460 = 2235111812251
BaseRepresentation
bin10000000001110…
…010100000001100
3200201222202120110
4100001302200030
51022314420320
642403320020
76443436006
oct2001624014
9621882513
10268904460
111288759a0
1276080010
1343931286
14279db376
151891a5e0
hex1007280c

268904460 has 96 divisors (see below), whose sum is σ = 826285824. Its totient is φ = 64800000.

The previous prime is 268904459. The next prime is 268904483. The reversal of 268904460 is 64409862.

It is a super-3 number, since 3×2689044603 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118335 + ... + 120585.

It is an arithmetic number, because the mean of its divisors is an integer number (8607144).

Almost surely, 2268904460 is an apocalyptic number.

268904460 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 268904460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413142912).

268904460 is an abundant number, since it is smaller than the sum of its proper divisors (557381364).

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

268904460 is a wasteful number, since it uses less digits than its factorization.

268904460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 268904460 is about 16398.3066198922. The cubic root of 268904460 is about 645.4550481562.

The spelling of 268904460 in words is "two hundred sixty-eight million, nine hundred four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2251 2715 3620 3982 4502 5430 5973 6753 7964 9004 9955 10860 11255 11946 13506 19910 22510 23892 24761 27012 29865 33765 39820 45020 49522 59730 67530 74283 99044 119460 123805 135060 148566 247610 297132 371415 407431 495220 742830 814862 1222293 1485660 1629724 2037155 2444586 4074310 4481741 4889172 6111465 8148620 8963482 12222930 13445223 17926964 22408705 24445860 26890446 44817410 53780892 67226115 89634820 134452230 268904460