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130249560 = 23357198161
BaseRepresentation
bin1111100001101…
…11001101011000
3100002002100210210
413300313031120
5231320441220
620531411120
73141050220
oct760671530
9302070723
10130249560
1167582471
1237753aa0
1320ca525c
1413427080
15b67c6e0
hex7c37358

130249560 has 128 divisors (see below), whose sum is σ = 470131200. Its totient is φ = 28200960.

The previous prime is 130249547. The next prime is 130249601. The reversal of 130249560 is 65942031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11880 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (3672900).

Almost surely, 2130249560 is an apocalyptic number.

130249560 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 130249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235065600).

130249560 is an abundant number, since it is smaller than the sum of its proper divisors (339881640).

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

130249560 is a wasteful number, since it uses less digits than its factorization.

130249560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130249560 is about 11412.6929337471. The cubic root of 130249560 is about 506.9036537548.

The spelling of 130249560 in words is "one hundred thirty million, two hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 8161 15960 16322 24483 32644 40805 48966 57127 65288 81610 97932 114254 122415 155059 163220 171381 195864 228508 244830 285635 310118 326440 342762 457016 465177 489660 571270 620236 685524 775295 856905 930354 979320 1085413 1142540 1240472 1371048 1550590 1713810 1860708 2170826 2285080 2325885 3101180 3256239 3427620 3721416 4341652 4651770 5427065 6202360 6512478 6855240 8683304 9303540 10854130 13024956 16281195 18607080 21708260 26049912 32562390 43416520 65124780 130249560