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130323240 = 23325563643
BaseRepresentation
bin1111100010010…
…01001100101000
3100002020002212200
413301021030220
5231330320430
620533140200
73141505065
oct761111450
9302202780
10130323240
1167622863
123778a660
1320ccc958
1413445c6c
15b694460
hex7c49328

130323240 has 96 divisors (see below), whose sum is σ = 424962720. Its totient is φ = 34637184.

The previous prime is 130323233. The next prime is 130323247. The reversal of 130323240 is 42323031.

It is an interprime number because it is at equal distance from previous prime (130323233) and next prime (130323247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130323247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202359 + ... + 203001.

It is an arithmetic number, because the mean of its divisors is an integer number (4426695).

Almost surely, 2130323240 is an apocalyptic number.

130323240 is a gapful number since it is divisible by the number (10) 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 130323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212481360).

130323240 is an abundant number, since it is smaller than the sum of its proper divisors (294639480).

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

130323240 is a wasteful number, since it uses less digits than its factorization.

130323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130323240 is about 11415.9204622317. The cubic root of 130323240 is about 506.9992180467. Note that the first 3 decimals are identical.

Adding to 130323240 its reverse (42323031), we get a palindrome (172646271).

The spelling of 130323240 in words is "one hundred thirty million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 563 643 1126 1286 1689 1929 2252 2572 2815 3215 3378 3858 4504 5067 5144 5630 5787 6430 6756 7716 8445 9645 10134 11260 11574 12860 13512 15432 16890 19290 20268 22520 23148 25335 25720 28935 33780 38580 40536 46296 50670 57870 67560 77160 101340 115740 202680 231480 362009 724018 1086027 1448036 1810045 2172054 2896072 3258081 3620090 4344108 5430135 6516162 7240180 8688216 10860270 13032324 14480360 16290405 21720540 26064648 32580810 43441080 65161620 130323240