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130232400 = 24352412647
BaseRepresentation
bin1111100001100…
…11000001010000
3100002001111021020
413300303001100
5231314414100
620531155440
73140646204
oct760630120
9302044236
10130232400
1167570591
1237745b80
1320c9a4bc
1413420b04
15b6775a0
hex7c33050

130232400 has 120 divisors (see below), whose sum is σ = 427514304. Its totient is φ = 33868800.

The previous prime is 130232357. The next prime is 130232447. The reversal of 130232400 is 4232031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130232400.

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 23 ways as a sum of consecutive naturals, for example, 47877 + ... + 50523.

Almost surely, 2130232400 is an apocalyptic number.

130232400 is a gapful number since it is divisible by the number (10) 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 130232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213757152).

130232400 is an abundant number, since it is smaller than the sum of its proper divisors (297281904).

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

130232400 is a wasteful number, since it uses less digits than its factorization.

130232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130232400 is about 11411.9411144643. The cubic root of 130232400 is about 506.8813917507.

Adding to 130232400 its reverse (4232031), we get a palindrome (134464431).

The spelling of 130232400 in words is "one hundred thirty million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 2647 3075 3280 4100 4920 5294 6150 7941 8200 9840 10588 12300 13235 15882 16400 21176 24600 26470 31764 39705 42352 49200 52940 63528 66175 79410 105880 108527 127056 132350 158820 198525 211760 217054 264700 317640 325581 397050 434108 529400 542635 635280 651162 794100 868216 1058800 1085270 1302324 1588200 1627905 1736432 2170540 2604648 2713175 3176400 3255810 4341080 5209296 5426350 6511620 8139525 8682160 10852700 13023240 16279050 21705400 26046480 32558100 43410800 65116200 130232400