Search a number
-
+
130649376 = 253111331307
BaseRepresentation
bin1111100100110…
…00110100100000
3100002211200020210
413302120310200
5231421240001
620544134120
73144333654
oct762306440
9302750223
10130649376
11678258a0
1237907340
13210b5230
14134cca64
15b70add6
hex7c98d20

130649376 has 192 divisors, whose sum is σ = 417263616. Its totient is φ = 35251200.

The previous prime is 130649359. The next prime is 130649383. The reversal of 130649376 is 673946031.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 425415 + ... + 425721.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 2130649376 is an apocalyptic number.

130649376 is a gapful number since it is divisible by the number (16) 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 130649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208631808).

130649376 is an abundant number, since it is smaller than the sum of its proper divisors (286614240).

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

130649376 is a wasteful number, since it uses less digits than its factorization.

130649376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 130649376 is about 11430.1957988479. The cubic root of 130649376 is about 507.4217903050.

The spelling of 130649376 in words is "one hundred thirty million, six hundred forty-nine thousand, three hundred seventy-six".