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456701130 = 23255074457
BaseRepresentation
bin11011001110001…
…011010011001010
31011211100211011200
4123032023103022
51413403414010
6113152405030
714213616114
oct3316132312
91154324150
10456701130
11214883356
12108b46776
1373804b72
14449243b4
152a163cc0
hex1b38b4ca

456701130 has 24 divisors (see below), whose sum is σ = 1187423172. Its totient is φ = 121786944.

The previous prime is 456701129. The next prime is 456701153. The reversal of 456701130 is 31107654.

It can be written as a sum of positive squares in 2 ways, for example, as 401481369 + 55219761 = 20037^2 + 7431^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 456701094 and 456701103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2537139 + ... + 2537318.

Almost surely, 2456701130 is an apocalyptic number.

456701130 is an abundant number, since it is smaller than the sum of its proper divisors (730722042).

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

456701130 is a wasteful number, since it uses less digits than its factorization.

456701130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074470 (or 5074467 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 456701130 is about 21370.5669087182. The cubic root of 456701130 is about 770.0945124894.

Adding to 456701130 its reverse (31107654), we get a palindrome (487808784).

The spelling of 456701130 in words is "four hundred fifty-six million, seven hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5074457 10148914 15223371 25372285 30446742 45670113 50744570 76116855 91340226 152233710 228350565 456701130