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130997580 = 223572172621
BaseRepresentation
bin1111100111011…
…01110101001100
3100010111100220020
413303231311030
5232013410310
620555422140
73150314100
oct763556514
9303440806
10130997580
1167a4346a
1237a54950
13211a787c
141357d900
15b779170
hex7cedd4c

130997580 has 144 divisors (see below), whose sum is σ = 451948896. Its totient is φ = 28170240.

The previous prime is 130997569. The next prime is 130997591. The reversal of 130997580 is 85799031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130997569) and next prime (130997591).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48670 + ... + 51290.

It is an arithmetic number, because the mean of its divisors is an integer number (3138534).

Almost surely, 2130997580 is an apocalyptic number.

130997580 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 130997580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225974448).

130997580 is an abundant number, since it is smaller than the sum of its proper divisors (320951316).

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

130997580 is a wasteful number, since it uses less digits than its factorization.

130997580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 130997580 is about 11445.4174235805. The cubic root of 130997580 is about 507.8721804193.

It can be divided in two parts, 1309 and 97580, that added together give a palindrome (98889).

The spelling of 130997580 in words is "one hundred thirty million, nine hundred ninety-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2621 2940 3332 3570 4165 4998 5242 7140 7863 8330 9996 10484 12495 13105 15726 16660 18347 24990 26210 31452 36694 39315 44557 49980 52420 55041 73388 78630 89114 91735 110082 128429 133671 157260 178228 183470 220164 222785 256858 267342 275205 311899 366940 385287 445570 513716 534684 550410 623798 642145 668355 770574 891140 935697 1100820 1247596 1284290 1336710 1541148 1559495 1871394 1926435 2183293 2568580 2673420 3118990 3742788 3852870 4366586 4678485 6237980 6549879 7705740 8733172 9356970 10916465 13099758 18713940 21832930 26199516 32749395 43665860 65498790 130997580