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130553024 = 267833511
BaseRepresentation
bin1111100100000…
…01010011000000
3100002122210002012
413302001103000
5231410144044
620542112052
73143453030
oct762012300
9302583065
10130553024
116776a468
123787b628
1321080414
14134a58c0
15b6dc59e
hex7c814c0

130553024 has 56 divisors (see below), whose sum is σ = 299728128. Its totient is φ = 55261440.

The previous prime is 130553023. The next prime is 130553029. The reversal of 130553024 is 420355031.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (130553021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35429 + ... + 38939.

It is an arithmetic number, because the mean of its divisors is an integer number (5352288).

Almost surely, 2130553024 is an apocalyptic number.

130553024 is a gapful number since it is divisible by the number (14) 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 130553024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149864064).

130553024 is an abundant number, since it is smaller than the sum of its proper divisors (169175104).

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

130553024 is an equidigital number, since it uses as much as digits as its factorization.

130553024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 130553024 is about 11425.9802205325. The cubic root of 130553024 is about 507.2970209169.

The spelling of 130553024 in words is "one hundred thirty million, five hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 3511 4648 5312 7022 9296 14044 18592 24577 28088 37184 49154 56176 98308 112352 196616 224704 291413 393232 582826 786464 1165652 1572928 2039891 2331304 4079782 4662608 8159564 9325216 16319128 18650432 32638256 65276512 130553024