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130508784 = 24327433011
BaseRepresentation
bin1111100011101…
…10011111110000
3100002120112101200
413301312133300
5231402240114
620541131200
73143210040
oct761663760
9302515350
10130508784
116773a1aa
1237859b00
1321066243
1413493720
15b6ce409
hex7c767f0

130508784 has 120 divisors (see below), whose sum is σ = 427270272. Its totient is φ = 36408960.

The previous prime is 130508773. The next prime is 130508789. The reversal of 130508784 is 487805031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130508789) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41839 + ... + 44849.

Almost surely, 2130508784 is an apocalyptic number.

130508784 is a gapful number since it is divisible by the number (14) 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 130508784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213635136).

130508784 is an abundant number, since it is smaller than the sum of its proper divisors (296761488).

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

130508784 is a wasteful number, since it uses less digits than its factorization.

130508784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 130508784 is about 11424.0441175619. The cubic root of 130508784 is about 507.2397125145.

The spelling of 130508784 in words is "one hundred thirty million, five hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3011 3096 3612 4816 5418 6022 6192 7224 9033 10836 12044 14448 18066 21077 21672 24088 27099 36132 42154 43344 48176 54198 63231 72264 84308 108396 126462 129473 144528 168616 189693 216792 252924 258946 337232 379386 388419 433584 505848 517892 758772 776838 906311 1011696 1035784 1165257 1517544 1553676 1812622 2071568 2330514 2718933 3035088 3107352 3625244 4661028 5437866 6214704 7250488 8156799 9322056 10875732 14500976 16313598 18644112 21751464 32627196 43502928 65254392 130508784