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472631120 = 24513454453
BaseRepresentation
bin11100001010111…
…100011101010000
31012221100011000022
4130022330131100
51431443143440
6114522043012
714466204203
oct3412743520
91187304008
10472631120
11222873835
12112349468
1376bc18b0
1446aad93a
152b75dcb5
hex1c2bc750

472631120 has 40 divisors (see below), whose sum is σ = 1183398216. Its totient is φ = 174509568.

The previous prime is 472631119. The next prime is 472631141. The reversal of 472631120 is 21136274.

It can be written as a sum of positive squares in 4 ways, for example, as 51724864 + 420906256 = 7192^2 + 20516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 472631120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226187 + ... + 228266.

Almost surely, 2472631120 is an apocalyptic number.

472631120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472631120 is an abundant number, since it is smaller than the sum of its proper divisors (710767096).

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

472631120 is a wasteful number, since it uses less digits than its factorization.

472631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454479 (or 454473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 472631120 is about 21740.0809566110. The cubic root of 472631120 is about 778.9461551568.

Adding to 472631120 its reverse (21136274), we get a palindrome (493767394).

The spelling of 472631120 in words is "four hundred seventy-two million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 454453 908906 1817812 2272265 3635624 4544530 5907889 7271248 9089060 11815778 18178120 23631556 29539445 36356240 47263112 59078890 94526224 118157780 236315560 472631120