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130023424 = 22231
BaseRepresentation
bin1111100000000…
…00000000000000
3100001122212121101
413300000000000
5231241222144
620522504144
73136116016
oct760000000
9301585541
10130023424
1167438583
1237665054
1320c2634b
14133a88b6
15b6356d4
hex7c00000

130023424 has 46 divisors (see below), whose sum is σ = 268435424. Its totient is φ = 62914560.

The previous prime is 130023407. The next prime is 130023431. The reversal of 130023424 is 424320031.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194289 + ... + 4194319.

Almost surely, 2130023424 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 130023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217712).

130023424 is an abundant number, since it is smaller than the sum of its proper divisors (138412000).

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

130023424 is an frugal number, since it uses more digits than its factorization.

130023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 130023424 is about 11402.7814150759. The cubic root of 130023424 is about 506.6101260391.

Adding to 130023424 its reverse (424320031), we get a palindrome (554343455).

The spelling of 130023424 in words is "one hundred thirty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 7936 8192 15872 16384 31744 32768 63488 65536 126976 131072 253952 262144 507904 524288 1015808 1048576 2031616 2097152 4063232 4194304 8126464 16252928 32505856 65011712 130023424