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130914960 = 243511172917
BaseRepresentation
bin1111100110110…
…01101010010000
3100010100011120020
413303121222100
5232003234320
620553543440
73146521161
oct763315220
9303304506
10130914960
1167997390
1237a14b80
1321179097
141355b768
15b75e940
hex7cd9a90

130914960 has 160 divisors (see below), whose sum is σ = 468934272. Its totient is φ = 29859840.

The previous prime is 130914941. The next prime is 130914989. The reversal of 130914960 is 69419031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 43422 + ... + 46338.

Almost surely, 2130914960 is an apocalyptic number.

130914960 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 130914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234467136).

130914960 is an abundant number, since it is smaller than the sum of its proper divisors (338019312).

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

130914960 is a wasteful number, since it uses less digits than its factorization.

130914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 130914960 is about 11441.8075495089. The cubic root of 130914960 is about 507.7653865277.

The spelling of 130914960 in words is "one hundred thirty million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2917 2992 3740 4080 4488 5610 5834 7480 8751 8976 11220 11668 14585 14960 17502 22440 23336 29170 32087 35004 43755 44880 46672 49589 58340 64174 70008 87510 96261 99178 116680 128348 140016 148767 160435 175020 192522 198356 233360 247945 256696 297534 320870 350040 385044 396712 481305 495890 513392 545479 595068 641740 700080 743835 770088 793424 962610 991780 1090958 1190136 1283480 1487670 1540176 1636437 1925220 1983560 2181916 2380272 2566960 2727395 2975340 3272874 3850440 3967120 4363832 5454790 5950680 6545748 7700880 8182185 8727664 10909580 11901360 13091496 16364370 21819160 26182992 32728740 43638320 65457480 130914960