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130963000 = 2353753353
BaseRepresentation
bin1111100111001…
…01011000111000
3100010102121110111
413303211120320
5232011304000
620554554104
73150111220
oct763453070
9303377414
10130963000
1167a1a493
1237a38934
1321194bcc
1413571080
15b76dcba
hex7ce5638

130963000 has 128 divisors (see below), whose sum is σ = 357851520. Its totient is φ = 43929600.

The previous prime is 130962983. The next prime is 130963013. The reversal of 130963000 is 369031.

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, 370824 + ... + 371176.

It is an arithmetic number, because the mean of its divisors is an integer number (2795715).

Almost surely, 2130963000 is an apocalyptic number.

130963000 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 130963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178925760).

130963000 is an abundant number, since it is smaller than the sum of its proper divisors (226888520).

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

130963000 is a wasteful number, since it uses less digits than its factorization.

130963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 130963000 is about 11443.9066756069. The cubic root of 130963000 is about 507.8274880783.

The spelling of 130963000 in words is "one hundred thirty million, nine hundred sixty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 125 140 175 200 212 250 265 280 350 353 371 424 500 530 700 706 742 875 1000 1060 1325 1400 1412 1484 1750 1765 1855 2120 2471 2650 2824 2968 3500 3530 3710 4942 5300 6625 7000 7060 7420 8825 9275 9884 10600 12355 13250 14120 14840 17650 18550 18709 19768 24710 26500 35300 37100 37418 44125 46375 49420 53000 61775 70600 74200 74836 88250 92750 93545 98840 123550 130963 149672 176500 185500 187090 247100 261926 308875 353000 371000 374180 467725 494200 523852 617750 654815 748360 935450 1047704 1235500 1309630 1870900 2338625 2471000 2619260 3274075 3741800 4677250 5238520 6548150 9354500 13096300 16370375 18709000 26192600 32740750 65481500 130963000