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130142304 = 25323111453
BaseRepresentation
bin1111100000111…
…01000001100000
3100001212220200100
413300131001200
5231304023204
620525222400
73140122425
oct760350140
9301786610
10130142304
1167509926
1237701a00
1320c684a6
14133d9d4c
15b65aa39
hex7c1d060

130142304 has 72 divisors (see below), whose sum is σ = 371537712. Its totient is φ = 43211520.

The previous prime is 130142291. The next prime is 130142317. The reversal of 130142304 is 403241031.

It is an interprime number because it is at equal distance from previous prime (130142291) and next prime (130142317).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88842 + ... + 90294.

It is an arithmetic number, because the mean of its divisors is an integer number (5160246).

Almost surely, 2130142304 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 130142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185768856).

130142304 is an abundant number, since it is smaller than the sum of its proper divisors (241395408).

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

130142304 is a wasteful number, since it uses less digits than its factorization.

130142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130142304 is about 11407.9929873751. The cubic root of 130142304 is about 506.7644763464.

Adding to 130142304 its reverse (403241031), we get a palindrome (533383335).

The spelling of 130142304 in words is "one hundred thirty million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1453 1866 2488 2799 2906 3732 4359 4976 5598 5812 7464 8718 9952 11196 11624 13077 14928 17436 22392 23248 26154 29856 34872 44784 46496 52308 69744 89568 104616 139488 209232 418464 451883 903766 1355649 1807532 2711298 3615064 4066947 5422596 7230128 8133894 10845192 14460256 16267788 21690384 32535576 43380768 65071152 130142304