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130895136 = 2533151499
BaseRepresentation
bin1111100110101…
…00110100100000
3100010022011101000
413303110310200
5232002121021
620553312000
73146406321
oct763246440
9303264330
10130895136
11679834a9
1237a05600
1321170058
1413554448
15b758b26
hex7cd4d20

130895136 has 48 divisors (see below), whose sum is σ = 381780000. Its totient is φ = 43631424.

The previous prime is 130895129. The next prime is 130895197. The reversal of 130895136 is 631598031.

It is a happy number.

130895136 is a `hidden beast` number, since 130 + 8 + 9 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 130895136.

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 7 ways as a sum of consecutive naturals, for example, 74886 + ... + 76613.

It is an arithmetic number, because the mean of its divisors is an integer number (7953750).

Almost surely, 2130895136 is an apocalyptic number.

130895136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130895136 is an abundant number, since it is smaller than the sum of its proper divisors (250884864).

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

130895136 is a wasteful number, since it uses less digits than its factorization.

130895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151518 (or 151504 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 130895136 is about 11440.9412200221. The cubic root of 130895136 is about 507.7397555146.

It can be divided in two parts, 13089 and 5136, that added together give a square (18225 = 1352).

The spelling of 130895136 in words is "one hundred thirty million, eight hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 151499 302998 454497 605996 908994 1211992 1363491 1817988 2423984 2726982 3635976 4090473 4847968 5453964 7271952 8180946 10907928 14543904 16361892 21815856 32723784 43631712 65447568 130895136