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130570440 = 2335711131087
BaseRepresentation
bin1111100100001…
…01100011001000
3100002200122222020
413302011203020
5231411223230
620542324440
73143554560
oct762054310
9302618866
10130570440
1167781560
1237889720
1321088320
14134abda0
15b6e2810
hex7c858c8

130570440 has 256 divisors, whose sum is σ = 526417920. Its totient is φ = 25021440.

The previous prime is 130570411. The next prime is 130570457. The reversal of 130570440 is 44075031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130570440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119577 + ... + 120663.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2130570440 is an apocalyptic number.

130570440 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 130570440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

130570440 is an abundant number, since it is smaller than the sum of its proper divisors (395847480).

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

130570440 is a wasteful number, since it uses less digits than its factorization.

130570440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 130570440 is about 11426.7423179137. The cubic root of 130570440 is about 507.3195780149.

The spelling of 130570440 in words is "one hundred thirty million, five hundred seventy thousand, four hundred forty".