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268880940 = 223251493783
BaseRepresentation
bin10000000001101…
…100110000101100
3200201221120022100
4100001230300230
51022313142230
642403015100
76443310306
oct2001546054
9621846270
10268880940
1112885a259
127606a490
1343923663
14279d2976
1518913660
hex1006cc2c

268880940 has 36 divisors (see below), whose sum is σ = 815606064. Its totient is φ = 71701536.

The previous prime is 268880933. The next prime is 268880957. The reversal of 268880940 is 49088862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 746712 + ... + 747071.

It is an arithmetic number, because the mean of its divisors is an integer number (22655724).

Almost surely, 2268880940 is an apocalyptic number.

268880940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268880940 is an abundant number, since it is smaller than the sum of its proper divisors (546725124).

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

268880940 is a wasteful number, since it uses less digits than its factorization.

268880940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493798 (or 1493793 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268880940 is about 16397.5894569903. The cubic root of 268880940 is about 645.4362291485.

The spelling of 268880940 in words is "two hundred sixty-eight million, eight hundred eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1493783 2987566 4481349 5975132 7468915 8962698 13444047 14937830 17925396 22406745 26888094 29875660 44813490 53776188 67220235 89626980 134440470 268880940