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130183984 = 2472473533
BaseRepresentation
bin1111100001001…
…11001100110000
3100001222000212001
413300213030300
5231311341414
620530143344
73140355100
oct760471460
9301860761
10130183984
1167538177
1237721b54
1320c81458
141340b200
15b668074
hex7c27330

130183984 has 60 divisors (see below), whose sum is σ = 299739744. Its totient is φ = 54590592.

The previous prime is 130183961. The next prime is 130183993. The reversal of 130183984 is 489381031.

It is a super-2 number, since 2×1301839842 = 33895739380224512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35082 + ... + 38614.

Almost surely, 2130183984 is an apocalyptic number.

130183984 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 130183984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869872).

130183984 is an abundant number, since it is smaller than the sum of its proper divisors (169555760).

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

130183984 is a wasteful number, since it uses less digits than its factorization.

130183984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 130183984 is about 11409.8196304762. The cubic root of 130183984 is about 506.8185701812.

The spelling of 130183984 in words is "one hundred thirty million, one hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 3533 4606 5264 7066 9212 14132 18424 24731 28264 36848 49462 56528 98924 166051 173117 197848 332102 346234 395696 664204 692468 1162357 1328408 1384936 2324714 2656816 2769872 4649428 8136499 9298856 16272998 18597712 32545996 65091992 130183984