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461131220 = 225112096051
BaseRepresentation
bin11011011111000…
…100110111010100
31012010200220010002
4123133010313110
51421022144340
6113431350432
714266356614
oct3337046724
91163626102
10461131220
11217329790
1210a522418
13746c6414
1445358a44
152a73b715
hex1b7c4dd4

461131220 has 24 divisors (see below), whose sum is σ = 1056410208. Its totient is φ = 167684000.

The previous prime is 461131201. The next prime is 461131243. The reversal of 461131220 is 22131164.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 461131192 and 461131201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047806 + ... + 1048245.

It is an arithmetic number, because the mean of its divisors is an integer number (44017092).

Almost surely, 2461131220 is an apocalyptic number.

It is an amenable number.

461131220 is an abundant number, since it is smaller than the sum of its proper divisors (595278988).

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

461131220 is a wasteful number, since it uses less digits than its factorization.

461131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096071 (or 2096069 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 461131220 is about 21473.9660985110. The cubic root of 461131220 is about 772.5765266681.

Adding to 461131220 its reverse (22131164), we get a palindrome (483262384).

The spelling of 461131220 in words is "four hundred sixty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2096051 4192102 8384204 10480255 20960510 23056561 41921020 46113122 92226244 115282805 230565610 461131220