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130153452 = 2231113731039
BaseRepresentation
bin1111100000111…
…11101111101100
3100001220110222020
413300133233230
5231304402302
620525350140
73140200062
oct760375754
9301813866
10130153452
1167517240
1237708350
1320c705a0
1413400032
15b65debc
hex7c1fbec

130153452 has 96 divisors (see below), whose sum is σ = 362019840. Its totient is φ = 35873280.

The previous prime is 130153433. The next prime is 130153493. The reversal of 130153452 is 254351031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124749 + ... + 125787.

It is an arithmetic number, because the mean of its divisors is an integer number (3771040).

Almost surely, 2130153452 is an apocalyptic number.

130153452 is a gapful number since it is divisible by the number (12) 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 130153452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181009920).

130153452 is an abundant number, since it is smaller than the sum of its proper divisors (231866388).

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

130153452 is a wasteful number, since it uses less digits than its factorization.

130153452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 130153452 is about 11408.4815817005. The cubic root of 130153452 is about 506.7789457615.

The spelling of 130153452 in words is "one hundred thirty million, one hundred fifty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 73 78 132 143 146 156 219 286 292 429 438 572 803 858 876 949 1039 1606 1716 1898 2078 2409 2847 3117 3212 3796 4156 4818 5694 6234 9636 10439 11388 11429 12468 13507 20878 22858 27014 31317 34287 40521 41756 45716 54028 62634 68574 75847 81042 125268 137148 148577 151694 162084 227541 297154 303388 445731 455082 594308 834317 891462 910164 986011 1668634 1782924 1972022 2502951 2958033 3337268 3944044 5005902 5916066 10011804 10846121 11832132 21692242 32538363 43384484 65076726 130153452