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130425984 = 2733132903
BaseRepresentation
bin1111100011000…
…10010010000000
3100002102022211000
413301202102000
5231342112414
620535252000
73142413453
oct761422200
9302368730
10130425984
1167692a77
123781a000
1321037650
141347149a
15b6b4b09
hex7c62480

130425984 has 128 divisors (see below), whose sum is σ = 414691200. Its totient is φ = 40117248.

The previous prime is 130425983. The next prime is 130426003. The reversal of 130425984 is 489524031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130425983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43477 + ... + 46379.

It is an arithmetic number, because the mean of its divisors is an integer number (3239775).

Almost surely, 2130425984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345600).

130425984 is an abundant number, since it is smaller than the sum of its proper divisors (284265216).

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

130425984 is a wasteful number, since it uses less digits than its factorization.

130425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 130425984 is about 11420.4196070022. The cubic root of 130425984 is about 507.1324187572.

The spelling of 130425984 in words is "one hundred thirty million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 2903 3456 3744 4992 5616 5806 7488 8709 11232 11612 14976 17418 22464 23224 26127 34836 37739 44928 46448 52254 69672 75478 78381 92896 104508 113217 139344 150956 156762 185792 209016 226434 278688 301912 313524 339651 371584 418032 452868 557376 603824 627048 679302 836064 905736 1018953 1114752 1207648 1254096 1358604 1672128 1811472 2037906 2415296 2508192 2717208 3344256 3622944 4075812 4830592 5016384 5434416 7245888 8151624 10032768 10868832 14491776 16303248 21737664 32606496 43475328 65212992 130425984