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1368105888 = 253314310691
BaseRepresentation
bin101000110001011…
…1010001110100000
310112100022222110110
41101202322032200
510300213342023
6343431131320
745621464622
oct12142721640
93470288413
101368105888
11642295226
12322213b40
1318a592616
14cd9acc12
1580194a93
hex518ba3a0

1368105888 has 96 divisors (see below), whose sum is σ = 3793692672. Its totient is φ = 431020800.

The previous prime is 1368105863. The next prime is 1368105899. The reversal of 1368105888 is 8885018631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122623 + ... + 133313.

It is an arithmetic number, because the mean of its divisors is an integer number (39517632).

Almost surely, 21368105888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368105888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896846336).

1368105888 is an abundant number, since it is smaller than the sum of its proper divisors (2425586784).

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

1368105888 is a wasteful number, since it uses less digits than its factorization.

1368105888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 1368105888 is about 36987.9154319353. The cubic root of 1368105888 is about 1110.1284617171.

The spelling of 1368105888 in words is "one billion, three hundred sixty-eight million, one hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 86 93 96 124 129 172 186 248 258 344 372 496 516 688 744 992 1032 1333 1376 1488 2064 2666 2976 3999 4128 5332 7998 10664 10691 15996 21328 21382 31992 32073 42656 42764 63984 64146 85528 127968 128292 171056 256584 331421 342112 459713 513168 662842 919426 994263 1026336 1325684 1379139 1838852 1988526 2651368 2758278 3677704 3977052 5302736 5516556 7355408 7954104 10605472 11033112 14251103 14710816 15908208 22066224 28502206 31816416 42753309 44132448 57004412 85506618 114008824 171013236 228017648 342026472 456035296 684052944 1368105888