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130450104 = 2332832263
BaseRepresentation
bin1111100011010…
…00001010111000
3100002110112220100
413301220022320
5231343400404
620535555400
73142544001
oct761501270
9302415810
10130450104
11676aa104
123782bb60
1321045615
141347a1a8
15b6bbd39
hex7c682b8

130450104 has 72 divisors (see below), whose sum is σ = 358970040. Its totient is φ = 42796128.

The previous prime is 130450097. The next prime is 130450109. The reversal of 130450104 is 401054031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1304501042 = 34034459267221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130450109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 495877 + ... + 496139.

It is an arithmetic number, because the mean of its divisors is an integer number (4985695).

Almost surely, 2130450104 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 130450104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179485020).

130450104 is an abundant number, since it is smaller than the sum of its proper divisors (228519936).

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

130450104 is a wasteful number, since it uses less digits than its factorization.

130450104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130450104 is about 11421.4755614150. The cubic root of 130450104 is about 507.1636785814.

The spelling of 130450104 in words is "one hundred thirty million, four hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 263 332 498 526 664 747 789 996 1052 1494 1578 1992 2104 2367 2988 3156 4734 5976 6312 6889 9468 13778 18936 20667 21829 27556 41334 43658 55112 62001 65487 82668 87316 124002 130974 165336 174632 196461 248004 261948 392922 496008 523896 785844 1571688 1811807 3623614 5435421 7247228 10870842 14494456 16306263 21741684 32612526 43483368 65225052 130450104