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1301797152 = 25324520129
BaseRepresentation
bin100110110010111…
…1101100100100000
310100201120010222100
41031211331210200
510131230002102
6333102010400
744155043655
oct11545754440
93321503870
101301797152
11608915517
12303b76a00
13179916c96
14c4c6bc2c
1579447a1c
hex4d97d920

1301797152 has 36 divisors (see below), whose sum is σ = 3701986470. Its totient is φ = 433932288.

The previous prime is 1301797139. The next prime is 1301797163. The reversal of 1301797152 is 2517971031.

It can be written as a sum of positive squares in only one way, i.e., 1267644816 + 34152336 = 35604^2 + 5844^2 .

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

It is a super-2 number, since 2×13017971522 = 3389351649910622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2259777 + ... + 2260352.

Almost surely, 21301797152 is an apocalyptic number.

1301797152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1301797152 is an abundant number, since it is smaller than the sum of its proper divisors (2400189318).

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

1301797152 is a wasteful number, since it uses less digits than its factorization.

1301797152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520145 (or 4520134 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1301797152 is about 36080.4261615630. The cubic root of 1301797152 is about 1091.8955742835.

The spelling of 1301797152 in words is "one billion, three hundred one million, seven hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4520129 9040258 13560387 18080516 27120774 36161032 40681161 54241548 72322064 81362322 108483096 144644128 162724644 216966192 325449288 433932384 650898576 1301797152