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268711140 = 223543310343
BaseRepresentation
bin10000000001000…
…011010011100100
3200201121221101110
4100001003103210
51022242224030
642355225020
76442002255
oct2001032344
9621557343
10268711140
11128753725
1275ba8170
1343894299
142798ab2c
15188cd1b0
hex100434e4

268711140 has 48 divisors (see below), whose sum is σ = 754201728. Its totient is φ = 71483904.

The previous prime is 268711127. The next prime is 268711147. The reversal of 268711140 is 41117862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 268711098 and 268711107.

It is not an unprimeable number, because it can be changed into a prime (268711147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20809 + ... + 31151.

It is an arithmetic number, because the mean of its divisors is an integer number (15712536).

Almost surely, 2268711140 is an apocalyptic number.

268711140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268711140 is an abundant number, since it is smaller than the sum of its proper divisors (485490588).

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

268711140 is a wasteful number, since it uses less digits than its factorization.

268711140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 268711140 is about 16392.4110490190. The cubic root of 268711140 is about 645.3003348628.

The spelling of 268711140 in words is "two hundred sixty-eight million, seven hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 433 866 1299 1732 2165 2598 4330 5196 6495 8660 10343 12990 20686 25980 31029 41372 51715 62058 103430 124116 155145 206860 310290 620580 4478519 8957038 13435557 17914076 22392595 26871114 44785190 53742228 67177785 89570380 134355570 268711140