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130450124 = 22719733359
BaseRepresentation
bin1111100011010…
…00001011001100
3100002110112221002
413301220023030
5231343400444
620535555432
73142544030
oct761501314
9302415832
10130450124
11676aa122
123782bb78
132104562c
141347a1c0
15b6bbd4e
hex7c682cc

130450124 has 48 divisors (see below), whose sum is σ = 278476800. Its totient is φ = 52223616.

The previous prime is 130450109. The next prime is 130450127. The reversal of 130450124 is 421054031.

It is a junction number, because it is equal to n+sod(n) for n = 130450096 and 130450105.

It is not an unprimeable number, because it can be changed into a prime (130450127) 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 15 ways as a sum of consecutive naturals, for example, 37157 + ... + 40515.

It is an arithmetic number, because the mean of its divisors is an integer number (5801600).

Almost surely, 2130450124 is an apocalyptic number.

130450124 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 130450124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139238400).

130450124 is an abundant number, since it is smaller than the sum of its proper divisors (148026676).

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

130450124 is a wasteful number, since it uses less digits than its factorization.

130450124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 130450124 is about 11421.4764369586. The cubic root of 130450124 is about 507.1637045000.

The spelling of 130450124 in words is "one hundred thirty million, four hundred fifty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 3359 5548 6718 9709 13436 19418 23513 38836 47026 63821 94052 127642 245207 255284 446747 490414 893494 980828 1716449 1786988 3432898 4658933 6865796 9317866 18635732 32612531 65225062 130450124