Search a number
-
+
470990970 = 23358321017
BaseRepresentation
bin11100000100101…
…100000001111010
31012211020211011000
4130010230001322
51431033202340
6114422545430
714446233342
oct3404540172
91184224130
10470990970
1122195353a
12111898276
13767691a8
14467a3d22
152b537d30
hex1c12c07a

470990970 has 64 divisors (see below), whose sum is σ = 1271168640. Its totient is φ = 124078464.

The previous prime is 470990959. The next prime is 470990983. The reversal of 470990970 is 79099074.

470990970 is a `hidden beast` number, since 470 + 9 + 90 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11902 + ... + 32918.

It is an arithmetic number, because the mean of its divisors is an integer number (19862010).

Almost surely, 2470990970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470990970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635584320).

470990970 is an abundant number, since it is smaller than the sum of its proper divisors (800177670).

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

470990970 is a wasteful number, since it uses less digits than its factorization.

470990970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21116 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 470990970 is about 21702.3263729951. The cubic root of 470990970 is about 778.0440638709.

The spelling of 470990970 in words is "four hundred seventy million, nine hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 21017 22410 42034 63051 105085 126102 189153 210170 315255 378306 567459 630510 945765 1134918 1744411 1891530 2837295 3488822 5233233 5674590 8722055 10466466 15699699 17444110 26166165 31399398 47099097 52332330 78498495 94198194 156996990 235495485 470990970