Search a number
-
+
130164240 = 24351761523
BaseRepresentation
bin1111100001000…
…10011000010000
3100001221000202210
413300202120100
5231310223430
620525512120
73140243403
oct760423020
9301830683
10130164240
1167524358
1237712640
1320c7547b
1413403d3a
15b6622b0
hex7c22610

130164240 has 160 divisors (see below), whose sum is σ = 435079296. Its totient is φ = 32071680.

The previous prime is 130164163. The next prime is 130164247. The reversal of 130164240 is 42461031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130164247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248619 + ... + 249141.

Almost surely, 2130164240 is an apocalyptic number.

130164240 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 130164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217539648).

130164240 is an abundant number, since it is smaller than the sum of its proper divisors (304915056).

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

130164240 is a wasteful number, since it uses less digits than its factorization.

130164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130164240 is about 11408.9543780313. The cubic root of 130164240 is about 506.7929471323.

The spelling of 130164240 in words is "one hundred thirty million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 61 68 80 85 102 120 122 136 170 183 204 240 244 255 272 305 340 366 408 488 510 523 610 680 732 816 915 976 1020 1037 1046 1220 1360 1464 1569 1830 2040 2074 2092 2440 2615 2928 3111 3138 3660 4080 4148 4184 4880 5185 5230 6222 6276 7320 7845 8296 8368 8891 10370 10460 12444 12552 14640 15555 15690 16592 17782 20740 20920 24888 25104 26673 31110 31380 31903 35564 41480 41840 44455 49776 53346 62220 62760 63806 71128 82960 88910 95709 106692 124440 125520 127612 133365 142256 159515 177820 191418 213384 248880 255224 266730 319030 355640 382836 426768 478545 510448 533460 542351 638060 711280 765672 957090 1066920 1084702 1276120 1531344 1627053 1914180 2133840 2169404 2552240 2711755 3254106 3828360 4338808 5423510 6508212 7656720 8135265 8677616 10847020 13016424 16270530 21694040 26032848 32541060 43388080 65082120 130164240