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130243520 = 26511163227
BaseRepresentation
bin1111100001101…
…01101111000000
3100002002001112002
413300311233000
5231320243040
620531323132
73141023501
oct760655700
9302061462
10130243520
1167578980
12377504a8
1320ca2594
1413424ba8
15b67aa15
hex7c35bc0

130243520 has 112 divisors (see below), whose sum is σ = 341912448. Its totient is φ = 46863360.

The previous prime is 130243513. The next prime is 130243523. The reversal of 130243520 is 25342031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130243492 and 130243501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130243523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573647 + ... + 573873.

Almost surely, 2130243520 is an apocalyptic number.

130243520 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 130243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170956224).

130243520 is an abundant number, since it is smaller than the sum of its proper divisors (211668928).

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

130243520 is a wasteful number, since it uses less digits than its factorization.

130243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 130243520 is about 11412.4283130279. The cubic root of 130243520 is about 506.8958181675.

Adding to 130243520 its reverse (25342031), we get a palindrome (155585551).

The spelling of 130243520 in words is "one hundred thirty million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 163 176 220 227 320 326 352 440 454 652 704 815 880 908 1135 1304 1630 1760 1793 1816 2270 2497 2608 3260 3520 3586 3632 4540 4994 5216 6520 7172 7264 8965 9080 9988 10432 12485 13040 14344 14528 17930 18160 19976 24970 26080 28688 35860 36320 37001 39952 49940 52160 57376 71720 72640 74002 79904 99880 114752 143440 148004 159808 185005 199760 286880 296008 370010 399520 407011 573760 592016 740020 799040 814022 1184032 1480040 1628044 2035055 2368064 2960080 3256088 4070110 5920160 6512176 8140220 11840320 13024352 16280440 26048704 32560880 65121760 130243520