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1368964000 = 2553342241
BaseRepresentation
bin101000110011000…
…1011101110100000
310112101221120120101
41101212023232200
510300423322000
6343501352144
745632000455
oct12146135640
93471846511
101368964000
11642820a08
12322568654
1318a803091
14cdb5382c
15802b3e6a
hex5198bba0

1368964000 has 48 divisors (see below), whose sum is σ = 3363554376. Its totient is φ = 547584000.

The previous prime is 1368963989. The next prime is 1368964021. The reversal of 1368964000 is 4698631.

It can be written as a sum of positive squares in 4 ways, for example, as 916636176 + 452327824 = 30276^2 + 21268^2 .

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, 167121 + ... + 175120.

Almost surely, 21368964000 is an apocalyptic number.

1368964000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368964000 is an abundant number, since it is smaller than the sum of its proper divisors (1994590376).

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

1368964000 is an equidigital number, since it uses as much as digits as its factorization.

1368964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342266 (or 342248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1368964000 is about 36999.5135103152. The cubic root of 1368964000 is about 1110.3605137982.

The spelling of 1368964000 in words is "one billion, three hundred sixty-eight million, nine hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 342241 684482 1368964 1711205 2737928 3422410 5475856 6844820 8556025 10951712 13689640 17112050 27379280 34224100 42780125 54758560 68448200 85560250 136896400 171120500 273792800 342241000 684482000 1368964000