[go: up one dir, main page]

Search a number
-
+
130374096 = 24331412137
BaseRepresentation
bin1111100010101…
…01100111010000
3100002022200122020
413301111213100
5231333432341
620534211440
73142106256
oct761254720
9302280566
10130374096
1167657a96
12377b3b80
1321019b48
141345a5d6
15b6a4566
hex7c559d0

130374096 has 80 divisors (see below), whose sum is σ = 356310528. Its totient is φ = 41011200.

The previous prime is 130374091. The next prime is 130374103. The reversal of 130374096 is 690473031.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130374091) 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, 59940 + ... + 62076.

Almost surely, 2130374096 is an apocalyptic number.

130374096 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 130374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178155264).

130374096 is an abundant number, since it is smaller than the sum of its proper divisors (225936432).

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

130374096 is a wasteful number, since it uses less digits than its factorization.

130374096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 130374096 is about 11418.1476606322. The cubic root of 130374096 is about 507.0651581893.

The spelling of 130374096 in words is "one hundred thirty million, three hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2137 2542 3813 4274 5084 6411 7626 8548 10168 12822 15252 17096 20336 25644 30504 34192 51288 61008 66247 87617 102576 132494 175234 198741 262851 264988 350468 397482 525702 529976 700936 794964 1051404 1059952 1401872 1589928 2102808 2716127 3179856 4205616 5432254 8148381 10864508 16296762 21729016 32593524 43458032 65187048 130374096