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470640 = 24353753
BaseRepresentation
bin1110010111001110000
3212220121010
41302321300
5110030030
614030520
74000062
oct1627160
9786533
10470640
112a1665
121a8440
131362b1
14c3732
15946b0
hex72e70

470640 has 80 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 119808.

The previous prime is 470627. The next prime is 470647. The reversal of 470640 is 46074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470647) by changing a digit.

470640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8854 + ... + 8906.

2470640 is an apocalyptic number.

470640 is a gapful number since it is divisible by the number (40) 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 470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344).

470640 is an abundant number, since it is smaller than the sum of its proper divisors (1056048).

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

470640 is a wasteful number, since it uses less digits than its factorization.

470640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 470640 is about 686.0320692213. The cubic root of 470640 is about 77.7850756569.

The spelling of 470640 in words is "four hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 53 60 74 80 106 111 120 148 159 185 212 222 240 265 296 318 370 424 444 530 555 592 636 740 795 848 888 1060 1110 1272 1480 1590 1776 1961 2120 2220 2544 2960 3180 3922 4240 4440 5883 6360 7844 8880 9805 11766 12720 15688 19610 23532 29415 31376 39220 47064 58830 78440 94128 117660 156880 235320 470640