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1368891200 = 2652899613
BaseRepresentation
bin101000110010111…
…1001111101000000
310112101210212201002
41101211321331000
510300414004300
6343500031132
745631245305
oct12145717500
93471725632
101368891200
11642781246
123225324a8
1318a7a8bc1
14cdb350ac
158029c5d5
hex51979f40

1368891200 has 84 divisors (see below), whose sum is σ = 3406528620. Its totient is φ = 541347840.

The previous prime is 1368891169. The next prime is 1368891229. The reversal of 1368891200 is 21988631.

It can be written as a sum of positive squares in 6 ways, for example, as 4032064 + 1364859136 = 2008^2 + 36944^2 .

It is a congruent number.

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, 137594 + ... + 147206.

Almost surely, 21368891200 is an apocalyptic number.

1368891200 is a gapful number since it is divisible by the number (10) 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 1368891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703264310).

1368891200 is an abundant number, since it is smaller than the sum of its proper divisors (2037637420).

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

1368891200 is an equidigital number, since it uses as much as digits as its factorization.

1368891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1368891200 is about 36998.5297005165. The cubic root of 1368891200 is about 1110.3408308656.

The spelling of 1368891200 in words is "one billion, three hundred sixty-eight million, eight hundred ninety-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 160 178 200 320 356 400 445 712 800 890 1424 1600 1780 2225 2848 3560 4450 5696 7120 8900 9613 14240 17800 19226 28480 35600 38452 48065 71200 76904 96130 142400 153808 192260 240325 307616 384520 480650 615232 769040 855557 961300 1538080 1711114 1922600 3076160 3422228 3845200 4277785 6844456 7690400 8555570 13688912 15380800 17111140 21388925 27377824 34222280 42777850 54755648 68444560 85555700 136889120 171111400 273778240 342222800 684445600 1368891200