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130658440 = 235111915629
BaseRepresentation
bin1111100100110…
…11000010001000
3100002212010200111
413302123002020
5231422032230
620544244104
73144402253
oct762330210
9302763614
10130658440
1167831690
1237910634
13210b93b3
14134d209a
15b70d92a
hex7c9b088

130658440 has 64 divisors (see below), whose sum is σ = 337608000. Its totient is φ = 45008640.

The previous prime is 130658419. The next prime is 130658441. The reversal of 130658440 is 44856031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130658441) 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, 546 + ... + 16174.

It is an arithmetic number, because the mean of its divisors is an integer number (5275125).

Almost surely, 2130658440 is an apocalyptic number.

130658440 is a gapful number since it is divisible by the number (10) 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 130658440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168804000).

130658440 is an abundant number, since it is smaller than the sum of its proper divisors (206949560).

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

130658440 is a wasteful number, since it uses less digits than its factorization.

130658440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15670 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 130658440 is about 11430.5922856167. The cubic root of 130658440 is about 507.4335244209.

The spelling of 130658440 in words is "one hundred thirty million, six hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 15629 31258 62516 78145 125032 156290 171919 296951 312580 343838 593902 625160 687676 859595 1187804 1375352 1484755 1719190 2375608 2969510 3266461 3438380 5939020 6532922 6876760 11878040 13065844 16332305 26131688 32664610 65329220 130658440