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130323144 = 23372110819
BaseRepresentation
bin1111100010010…
…01001011001000
3100002020002202010
413301021023020
5231330320034
620533135520
73141504600
oct761111310
9302202663
10130323144
1167622786
123778a5a0
1320ccc8b3
1413445c00
15b6943e9
hex7c492c8

130323144 has 48 divisors (see below), whose sum is σ = 379004400. Its totient is φ = 37234848.

The previous prime is 130323143. The next prime is 130323157. The reversal of 130323144 is 441323031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130323144.

It is not an unprimeable number, because it can be changed into a prime (130323143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54234 + ... + 56585.

It is an arithmetic number, because the mean of its divisors is an integer number (7895925).

Almost surely, 2130323144 is an apocalyptic number.

130323144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130323144 is an abundant number, since it is smaller than the sum of its proper divisors (248681256).

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

130323144 is a wasteful number, since it uses less digits than its factorization.

130323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110842 (or 110831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130323144 is about 11415.9162575765. The cubic root of 130323144 is about 506.9990935564. Note that the first 3 decimals are identical.

Adding to 130323144 its reverse (441323031), we get a palindrome (571646175).

The spelling of 130323144 in words is "one hundred thirty million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 110819 221638 332457 443276 664914 775733 886552 1329828 1551466 2327199 2659656 3102932 4654398 5430131 6205864 9308796 10860262 16290393 18617592 21720524 32580786 43441048 65161572 130323144