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1300753056 = 253313711813
BaseRepresentation
bin100110110000111…
…1110101010100000
310100122121002202010
41031201332222200
510130443044211
6333023352520
744143134651
oct11541765240
93318532663
101300753056
11608272029
12303752740
1317963c985
14c4a79528
15792dd4a6
hex4d87eaa0

1300753056 has 96 divisors (see below), whose sum is σ = 3620187648. Its totient is φ = 408222720.

The previous prime is 1300753039. The next prime is 1300753099. The reversal of 1300753056 is 6503570031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104206 + ... + 116018.

It is an arithmetic number, because the mean of its divisors is an integer number (37710288).

Almost surely, 21300753056 is an apocalyptic number.

1300753056 is a gapful number since it is divisible by the number (16) 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 1300753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810093824).

1300753056 is an abundant number, since it is smaller than the sum of its proper divisors (2319434592).

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

1300753056 is a wasteful number, since it uses less digits than its factorization.

1300753056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1300753056 is about 36065.9542505117. The cubic root of 1300753056 is about 1091.6035808335.

The spelling of 1300753056 in words is "one billion, three hundred million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 11813 13764 18352 23626 27528 35439 36704 47252 55056 70878 94504 110112 141756 189008 283512 366203 378016 437081 567024 732406 874162 1098609 1134048 1311243 1464812 1748324 2197218 2622486 2929624 3496648 4394436 5244972 5859248 6993296 8788872 10489944 11718496 13549511 13986592 17577744 20979888 27099022 35155488 40648533 41959776 54198044 81297066 108396088 162594132 216792176 325188264 433584352 650376528 1300753056