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130403724 = 223111377211
BaseRepresentation
bin1111100010111…
…00110110001100
3100002101012021120
413301130312030
5231340404344
620535000540
73142261533
oct761346614
9302335246
10130403724
1167678280
1237809150
132102a489
141346731a
15b6ad219
hex7c5cd8c

130403724 has 48 divisors (see below), whose sum is σ = 334406016. Its totient is φ = 39222400.

The previous prime is 130403723. The next prime is 130403737. The reversal of 130403724 is 427304031.

It is a junction number, because it is equal to n+sod(n) for n = 130403694 and 130403703.

It is not an unprimeable number, because it can be changed into a prime (130403723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14479 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (6966792).

Almost surely, 2130403724 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 130403724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167203008).

130403724 is an abundant number, since it is smaller than the sum of its proper divisors (204002292).

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

130403724 is a wasteful number, since it uses less digits than its factorization.

130403724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 130403724 is about 11419.4449952701. Note that the first 3 decimals coincide. The cubic root of 130403724 is about 507.1035660967.

Adding to 130403724 its reverse (427304031), we get a palindrome (557707755).

The spelling of 130403724 in words is "one hundred thirty million, four hundred three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 7211 9042 14422 18084 21633 28844 43266 79321 86532 158642 237963 317284 475926 951852 987907 1975814 2963721 3951628 5927442 10866977 11854884 21733954 32600931 43467908 65201862 130403724