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1630164 = 2231761131
BaseRepresentation
bin110001101111111010100
310001211011110
412031333110
5404131124
654535020
716566444
oct6157724
93054143
101630164
11a13848
12667470
13450cc3
14306124
15223029
hex18dfd4

1630164 has 48 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 499200.

The previous prime is 1630159. The next prime is 1630169. The reversal of 1630164 is 4610361.

It is an interprime number because it is at equal distance from previous prime (1630159) and next prime (1630169).

It is a self number, because there is not a number n which added to its sum of digits gives 1630164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12379 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

21630164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1630164 is an abundant number, since it is smaller than the sum of its proper divisors (2494572).

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

1630164 is a wasteful number, since it uses less digits than its factorization.

1630164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1630164 is about 1276.7787592218. The cubic root of 1630164 is about 117.6911390309.

The spelling of 1630164 in words is "one million, six hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 131 183 204 244 262 366 393 524 732 786 1037 1572 2074 2227 3111 4148 4454 6222 6681 7991 8908 12444 13362 15982 23973 26724 31964 47946 95892 135847 271694 407541 543388 815082 1630164