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130046976 = 21032103137
BaseRepresentation
bin1111100000001…
…01110000000000
3100001201001220200
413300011300000
5231243000401
620523205200
73136244463
oct760056000
9301631820
10130046976
1167454244
1237676800
1320c33c97
14133b32da
15b63c686
hex7c05c00

130046976 has 132 divisors (see below), whose sum is σ = 381921072. Its totient is φ = 42614784.

The previous prime is 130046951. The next prime is 130046981. The reversal of 130046976 is 679640031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130046976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949180 + ... + 949316.

Almost surely, 2130046976 is an apocalyptic number.

130046976 is a gapful number since it is divisible by the number (16) 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 130046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960536).

130046976 is an abundant number, since it is smaller than the sum of its proper divisors (251874096).

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

130046976 is a wasteful number, since it uses less digits than its factorization.

130046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130046976 is about 11403.8140988005. The cubic root of 130046976 is about 506.6407127364.

The spelling of 130046976 in words is "one hundred thirty million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 137 144 192 206 256 274 288 309 384 411 412 512 548 576 618 768 822 824 927 1024 1096 1152 1233 1236 1536 1644 1648 1854 2192 2304 2466 2472 3072 3288 3296 3708 4384 4608 4932 4944 6576 6592 7416 8768 9216 9864 9888 13152 13184 14111 14832 17536 19728 19776 26304 26368 28222 29664 35072 39456 39552 42333 52608 52736 56444 59328 70144 78912 79104 84666 105216 105472 112888 118656 126999 140288 157824 158208 169332 210432 225776 237312 253998 315648 316416 338664 420864 451552 474624 507996 631296 677328 903104 949248 1015992 1262592 1354656 1806208 2031984 2709312 3612416 4063968 5418624 7224832 8127936 10837248 14449664 16255872 21674496 32511744 43348992 65023488 130046976