Search a number
-
+
130744320 = 21635719
BaseRepresentation
bin1111100101100…
…00000000000000
3100010000111111020
413302300000000
5231432304240
620550145440
73145210530
oct762600000
9303014436
10130744320
1167890163
1237952280
1321119505
14135154c0
15b7290d0
hex7cb0000

130744320 has 272 divisors, whose sum is σ = 503312640. Its totient is φ = 28311552.

The previous prime is 130744319. The next prime is 130744321. The reversal of 130744320 is 23447031.

It is an interprime number because it is at equal distance from previous prime (130744319) and next prime (130744321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130744321) 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, 6881271 + ... + 6881289.

Almost surely, 2130744320 is an apocalyptic number.

130744320 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 130744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251656320).

130744320 is an abundant number, since it is smaller than the sum of its proper divisors (372568320).

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

130744320 is an frugal number, since it uses more digits than its factorization.

130744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

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

The square root of 130744320 is about 11434.3482542732. The cubic root of 130744320 is about 507.5446764361.

The spelling of 130744320 in words is "one hundred thirty million, seven hundred forty-four thousand, three hundred twenty".