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470380040 = 23513904577
BaseRepresentation
bin11100000010010…
…110111000001000
31012210002210002222
4130002112320020
51430404130130
6114401513212
714441110244
oct3402267010
91183083088
10470380040
11221576539
12111642808
13765b40b0
1446685424
152b466ce5
hex1c096e08

470380040 has 32 divisors (see below), whose sum is σ = 1139768280. Its totient is φ = 173678592.

The previous prime is 470379991. The next prime is 470380067. The reversal of 470380040 is 40083074.

It can be written as a sum of positive squares in 4 ways, for example, as 316768804 + 153611236 = 17798^2 + 12394^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 470379991 and 470380009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451769 + ... + 452808.

Almost surely, 2470380040 is an apocalyptic number.

470380040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470380040 is an abundant number, since it is smaller than the sum of its proper divisors (669388240).

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

470380040 is a wasteful number, since it uses less digits than its factorization.

470380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904601 (or 904597 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 470380040 is about 21688.2465865731. The cubic root of 470380040 is about 777.7075138038.

The spelling of 470380040 in words is "four hundred seventy million, three hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 904577 1809154 3618308 4522885 7236616 9045770 11759501 18091540 23519002 36183080 47038004 58797505 94076008 117595010 235190020 470380040