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130590144 = 2638311
BaseRepresentation
bin1111100100010…
…10010111000000
3100002201200000000
413302022113000
5231412341034
620543000000
73143666166
oct762122700
9302650000
10130590144
1167795343
1237899000
1321094299
14134b5236
15b6e8599
hex7c8a5c0

130590144 has 126 divisors (see below), whose sum is σ = 389939784. Its totient is φ = 43390080.

The previous prime is 130590143. The next prime is 130590157. The reversal of 130590144 is 441095031.

130590144 is a `hidden beast` number, since 1 + 30 + 590 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130590143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419749 + ... + 420059.

Almost surely, 2130590144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194969892).

130590144 is an abundant number, since it is smaller than the sum of its proper divisors (259349640).

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

130590144 is an frugal number, since it uses more digits than its factorization.

130590144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130590144 is about 11427.6044733794. The cubic root of 130590144 is about 507.3450960984.

The spelling of 130590144 in words is "one hundred thirty million, five hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 311 324 432 486 576 622 648 729 864 933 972 1244 1296 1458 1728 1866 1944 2187 2488 2592 2799 2916 3732 3888 4374 4976 5184 5598 5832 6561 7464 7776 8397 8748 9952 11196 11664 13122 14928 15552 16794 17496 19904 22392 23328 25191 26244 29856 33588 34992 44784 46656 50382 52488 59712 67176 69984 75573 89568 100764 104976 134352 139968 151146 179136 201528 209952 226719 268704 302292 403056 419904 453438 537408 604584 680157 806112 906876 1209168 1360314 1612224 1813752 2040471 2418336 2720628 3627504 4080942 4836672 5441256 7255008 8161884 10882512 14510016 16323768 21765024 32647536 43530048 65295072 130590144