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130253184 = 273417739
BaseRepresentation
bin1111100001110…
…00000110000000
3100002002112210000
413300320012000
5231321100214
620531440000
73141063615
oct760700600
9302075700
10130253184
1167585166
1237756000
1320ca6ab9
141342850c
15b67d809
hex7c38180

130253184 has 160 divisors (see below), whose sum is σ = 410988600. Its totient is φ = 40808448.

The previous prime is 130253183. The next prime is 130253197. The reversal of 130253184 is 481352031.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130253183) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175887 + ... + 176625.

Almost surely, 2130253184 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 130253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205494300).

130253184 is an abundant number, since it is smaller than the sum of its proper divisors (280735416).

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

130253184 is an equidigital number, since it uses as much as digits as its factorization.

130253184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130253184 is about 11412.8517032335. The cubic root of 130253184 is about 506.9083549909.

The spelling of 130253184 in words is "one hundred thirty million, two hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 739 816 864 918 1088 1152 1224 1296 1377 1478 1632 1728 1836 2176 2217 2448 2592 2754 2956 3264 3456 3672 4434 4896 5184 5508 5912 6528 6651 7344 8868 9792 10368 11016 11824 12563 13302 14688 17736 19584 19953 22032 23648 25126 26604 29376 35472 37689 39906 44064 47296 50252 53208 58752 59859 70944 75378 79812 88128 94592 100504 106416 113067 119718 141888 150756 159624 176256 201008 212832 226134 239436 283776 301512 319248 339201 402016 425664 452268 478872 603024 638496 678402 804032 851328 904536 957744 1017603 1206048 1276992 1356804 1608064 1809072 1915488 2035206 2412096 2553984 2713608 3618144 3830976 4070412 4824192 5427216 7236288 7661952 8140824 10854432 14472576 16281648 21708864 32563296 43417728 65126592 130253184