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268576740 = 223252236691
BaseRepresentation
bin10000000000100…
…010011111100100
3200201101010000200
4100000202133210
51022223423430
642352310500
76440602365
oct2000423744
9621333020
10268576740
11128671753
1275b42430
1343848063
1427953b6c
15188a3460
hex100227e4

268576740 has 72 divisors (see below), whose sum is σ = 818458368. Its totient is φ = 71288640.

The previous prime is 268576739. The next prime is 268576757. The reversal of 268576740 is 47675862.

268576740 is a `hidden beast` number, since 2 + 6 + 8 + 576 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36795 + ... + 43485.

Almost surely, 2268576740 is an apocalyptic number.

268576740 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 268576740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409229184).

268576740 is an abundant number, since it is smaller than the sum of its proper divisors (549881628).

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

268576740 is a wasteful number, since it uses less digits than its factorization.

268576740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 268576740 is about 16388.3110783265. The cubic root of 268576740 is about 645.1927312995.

The spelling of 268576740 in words is "two hundred sixty-eight million, five hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 6691 8028 10035 13380 13382 20070 20073 26764 33455 40140 40146 60219 66910 80292 100365 120438 133820 200730 240876 301095 401460 602190 1204380 1492093 2984186 4476279 5968372 7460465 8952558 13428837 14920930 17905116 22381395 26857674 29841860 44762790 53715348 67144185 89525580 134288370 268576740