Search a number
-
+
130554288 = 24331729613
BaseRepresentation
bin1111100100000…
…01100110110000
3100002122211211000
413302001212300
5231410214123
620542122000
73143456514
oct762014660
9302584730
10130554288
1167770407
1237880300
1321080b77
14134a6144
15b6dcb43
hex7c819b0

130554288 has 160 divisors (see below), whose sum is σ = 411134400. Its totient is φ = 39481344.

The previous prime is 130554227. The next prime is 130554293. The reversal of 130554288 is 882455031.

It is a happy number.

130554288 is a `hidden beast` number, since 1 + 30 + 5 + 542 + 88 = 666.

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

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, 212670 + ... + 213282.

It is an arithmetic number, because the mean of its divisors is an integer number (2569590).

Almost surely, 2130554288 is an apocalyptic number.

130554288 is a gapful number since it is divisible by the number (18) 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 130554288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205567200).

130554288 is an abundant number, since it is smaller than the sum of its proper divisors (280580112).

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

130554288 is a wasteful number, since it uses less digits than its factorization.

130554288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 130554288 is about 11426.0355329397. The cubic root of 130554288 is about 507.2986581096.

The spelling of 130554288 in words is "one hundred thirty million, five hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 29 34 36 48 51 54 58 68 72 87 102 108 116 136 144 153 174 204 216 232 261 272 306 348 408 432 459 464 493 522 612 613 696 783 816 918 986 1044 1224 1226 1392 1479 1566 1836 1839 1972 2088 2448 2452 2958 3132 3672 3678 3944 4176 4437 4904 5517 5916 6264 7344 7356 7888 8874 9808 10421 11034 11832 12528 13311 14712 16551 17748 17777 20842 22068 23664 26622 29424 31263 33102 35496 35554 41684 44136 53244 53331 62526 66204 70992 71108 83368 88272 93789 106488 106662 125052 132408 142216 159993 166736 187578 212976 213324 250104 264816 281367 284432 302209 319986 375156 426648 479979 500208 562734 604418 639972 750312 853296 906627 959958 1125468 1208836 1279944 1500624 1813254 1919916 2250936 2417672 2559888 2719881 3626508 3839832 4501872 4835344 5439762 7253016 7679664 8159643 10879524 14506032 16319286 21759048 32638572 43518096 65277144 130554288