Search a number
-
+
630195156 = 2232311015591
BaseRepresentation
bin100101100100000…
…000001111010100
31121220211020020100
4211210000033110
52242312221111
6142311134100
721421366443
oct4544001724
91556736210
10630195156
112a3801a48
12157074330
13a073b656
145d9a6d5a
153a4d4756
hex259003d4

630195156 has 72 divisors (see below), whose sum is σ = 1660958208. Its totient is φ = 201240000.

The previous prime is 630195149. The next prime is 630195169. The reversal of 630195156 is 651591036.

630195156 is a `hidden beast` number, since 630 + 1 + 9 + 5 + 15 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 630195156.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 109921 + ... + 115511.

It is an arithmetic number, because the mean of its divisors is an integer number (23068864).

Almost surely, 2630195156 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 630195156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830479104).

630195156 is an abundant number, since it is smaller than the sum of its proper divisors (1030763052).

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

630195156 is a wasteful number, since it uses less digits than its factorization.

630195156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 630195156 is about 25103.6880955767. The cubic root of 630195156 is about 857.3503975060.

The spelling of 630195156 in words is "six hundred thirty million, one hundred ninety-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 3131 3636 5591 6262 9393 11182 12524 16773 18786 22364 28179 33546 37572 50319 56358 67092 100638 112716 173321 201276 346642 519963 564691 693284 1039926 1129382 1559889 1694073 2079852 2258764 3119778 3388146 5082219 6239556 6776292 10164438 17505421 20328876 35010842 52516263 70021684 105032526 157548789 210065052 315097578 630195156