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130136424 = 23311618081
BaseRepresentation
bin1111100000110…
…11100101101000
3100001212121121120
413300123211220
5231303331144
620525135240
73140066325
oct760334550
9301777546
10130136424
1167505470
12376ba520
1320c65902
14133d7b4c
15b658e19
hex7c1b968

130136424 has 64 divisors (see below), whose sum is σ = 360780480. Its totient is φ = 38784000.

The previous prime is 130136399. The next prime is 130136431. The reversal of 130136424 is 424631031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130136394 and 130136403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12064 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (5637195).

Almost surely, 2130136424 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 130136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180390240).

130136424 is an abundant number, since it is smaller than the sum of its proper divisors (230644056).

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

130136424 is a wasteful number, since it uses less digits than its factorization.

130136424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 130136424 is about 11407.7352704207. The cubic root of 130136424 is about 506.7568441368.

Adding to 130136424 its reverse (424631031), we get a palindrome (554767455).

The spelling of 130136424 in words is "one hundred thirty million, one hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 8081 16104 16162 24243 32324 48486 64648 88891 96972 177782 193944 266673 355564 492941 533346 711128 985882 1066692 1478823 1971764 2133384 2957646 3943528 5422351 5915292 10844702 11830584 16267053 21689404 32534106 43378808 65068212 130136424