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130436020 = 225111359773
BaseRepresentation
bin1111100011001…
…00101110110100
3100002102211120201
413301210232310
5231342423040
620535410244
73142454641
oct761445664
9302384521
10130436020
116769a570
1237823984
132103c0a0
1413474dc8
15b6b7a9a
hex7c64bb4

130436020 has 96 divisors (see below), whose sum is σ = 327680640. Its totient is φ = 42984960.

The previous prime is 130435999. The next prime is 130436039. The reversal of 130436020 is 20634031.

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, 168354 + ... + 169126.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2130436020 is an apocalyptic number.

130436020 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 130436020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

130436020 is an abundant number, since it is smaller than the sum of its proper divisors (197244620).

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

130436020 is a wasteful number, since it uses less digits than its factorization.

130436020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 130436020 is about 11420.8589869589. The cubic root of 130436020 is about 507.1454260079.

The spelling of 130436020 in words is "one hundred thirty million, four hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 59 65 110 118 130 143 220 236 260 286 295 572 590 649 715 767 773 1180 1298 1430 1534 1546 2596 2860 3068 3092 3245 3835 3865 6490 7670 7730 8437 8503 10049 12980 15340 15460 16874 17006 20098 33748 34012 40196 42185 42515 45607 50245 84370 85030 91214 100490 110539 168740 170060 182428 200980 221078 228035 442156 456070 501677 552695 592891 912140 1003354 1105390 1185782 2006708 2210780 2371564 2508385 2964455 5016770 5928910 6521801 10033540 11857820 13043602 26087204 32609005 65218010 130436020