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130185984 = 283179947
BaseRepresentation
bin1111100001001…
…11101100000000
3100001222010121010
413300213230000
5231311422414
620530200520
73140363655
oct760475400
9301863533
10130185984
1167539725
1237723140
1320c82336
141340bc2c
15b668959
hex7c27b00

130185984 has 72 divisors (see below), whose sum is σ = 348788160. Its totient is φ = 43107328.

The previous prime is 130185971. The next prime is 130185989. The reversal of 130185984 is 489581031.

It is not an unprimeable number, because it can be changed into a prime (130185989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136999 + ... + 137945.

It is an arithmetic number, because the mean of its divisors is an integer number (4844280).

Almost surely, 2130185984 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 130185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174394080).

130185984 is an abundant number, since it is smaller than the sum of its proper divisors (218602176).

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

130185984 is an equidigital number, since it uses as much as digits as its factorization.

130185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 130185984 is about 11409.9072739440. The cubic root of 130185984 is about 506.8211655644.

The spelling of 130185984 in words is "one hundred thirty million, one hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 537 716 768 947 1074 1432 1894 2148 2841 2864 3788 4296 5682 5728 7576 8592 11364 11456 15152 17184 22728 22912 30304 34368 45456 45824 60608 68736 90912 121216 137472 169513 181824 242432 339026 363648 508539 678052 727296 1017078 1356104 2034156 2712208 4068312 5424416 8136624 10848832 16273248 21697664 32546496 43395328 65092992 130185984