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268466240 = 2657119851
BaseRepresentation
bin10000000000000…
…111100001000000
3200201011111110002
4100000013201000
51022211404430
642350055132
76436632260
oct2000074100
9621144402
10268466240
111285a6729
1275aaa4a8
1343809983
14279257a0
1518880845
hex10007840

268466240 has 56 divisors (see below), whose sum is σ = 730617792. Its totient is φ = 92044800.

The previous prime is 268466207. The next prime is 268466269. The reversal of 268466240 is 42664862.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 268466194 and 268466203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57686 + ... + 62165.

Almost surely, 2268466240 is an apocalyptic number.

268466240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268466240 is an abundant number, since it is smaller than the sum of its proper divisors (462151552).

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

268466240 is a wasteful number, since it uses less digits than its factorization.

268466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119875 (or 119865 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 268466240 is about 16384.9394261926. The cubic root of 268466240 is about 645.1042357029.

The spelling of 268466240 in words is "two hundred sixty-eight million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 119851 239702 479404 599255 838957 958808 1198510 1677914 1917616 2397020 3355828 3835232 4194785 4794040 6711656 7670464 8389570 9588080 13423312 16779140 19176160 26846624 33558280 38352320 53693248 67116560 134233120 268466240