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130724022 = 2311131511009
BaseRepresentation
bin1111100101010…
…11000010110110
3100002222110122110
413302223002312
5231431132042
620545511450
73145064412
oct762530266
9302873573
10130724022
1167876990
1237942586
13211101c0
141350bd42
15b72309c
hex7cab0b6

130724022 has 64 divisors (see below), whose sum is σ = 309496320. Its totient is φ = 36288000.

The previous prime is 130724017. The next prime is 130724053. The reversal of 130724022 is 220427031.

130724022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 130724022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129054 + ... + 130062.

It is an arithmetic number, because the mean of its divisors is an integer number (4835880).

Almost surely, 2130724022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130724022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154748160).

130724022 is an abundant number, since it is smaller than the sum of its proper divisors (178772298).

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

130724022 is a wasteful number, since it uses less digits than its factorization.

130724022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130724022 is about 11433.4606309726. The cubic root of 130724022 is about 507.5184097118.

The spelling of 130724022 in words is "one hundred thirty million, seven hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 858 906 1009 1661 1963 2018 3027 3322 3926 4983 5889 6054 9966 11099 11778 13117 21593 22198 26234 33297 39351 43186 64779 66594 78702 129558 144287 152359 288574 304718 432861 457077 865722 914154 1675949 1980667 3351898 3961334 5027847 5942001 10055694 11884002 21787337 43574674 65362011 130724022