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130986072 = 2334767431
BaseRepresentation
bin1111100111010…
…11000001011000
3100010110210010000
413303223001120
5232013023242
620555253000
73150235410
oct763530130
9303423100
10130986072
1167a35858
1237a4a160
13211a2569
1413579640
15b775a4c
hex7ceb058

130986072 has 160 divisors (see below), whose sum is σ = 426539520. Its totient is φ = 36780480.

The previous prime is 130986043. The next prime is 130986091. The reversal of 130986072 is 270689031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303697 + ... + 304127.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872).

Almost surely, 2130986072 is an apocalyptic number.

130986072 is a gapful number since it is divisible by the number (12) 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 130986072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269760).

130986072 is an abundant number, since it is smaller than the sum of its proper divisors (295553448).

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

130986072 is a wasteful number, since it uses less digits than its factorization.

130986072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130986072 is about 11444.9146785811. The cubic root of 130986072 is about 507.8573079710.

The spelling of 130986072 in words is "one hundred thirty million, nine hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 81 84 108 126 134 162 168 189 201 216 252 268 324 378 402 431 469 504 536 567 603 648 756 804 862 938 1134 1206 1293 1407 1512 1608 1724 1809 1876 2268 2412 2586 2814 3017 3448 3618 3752 3879 4221 4536 4824 5172 5427 5628 6034 7236 7758 8442 9051 10344 10854 11256 11637 12068 12663 14472 15516 16884 18102 21708 23274 24136 25326 27153 28877 31032 33768 34911 36204 37989 43416 46548 50652 54306 57754 69822 72408 75978 81459 86631 93096 101304 108612 115508 139644 151956 162918 173262 202139 217224 231016 244377 259893 279288 303912 325836 346524 404278 488754 519786 606417 651672 693048 779679 808556 977508 1039572 1212834 1559358 1617112 1819251 1955016 2079144 2339037 2425668 3118716 3638502 4678074 4851336 5457753 6237432 7277004 9356148 10915506 14554008 16373259 18712296 21831012 32746518 43662024 65493036 130986072