Search a number
-
+
630100032 = 26315720903
BaseRepresentation
bin100101100011101…
…001000001000000
31121220122101202020
4211203221001000
52242301200112
6142305121440
721420522222
oct4543510100
91556571666
10630100032
112a3747531
12157029280
13a0707273
145d980412
153a4b648c
hex258e9040

630100032 has 56 divisors (see below), whose sum is σ = 1677838656. Its totient is φ = 208685568.

The previous prime is 630099997. The next prime is 630100033. The reversal of 630100032 is 230001036.

It is a junction number, because it is equal to n+sod(n) for n = 630099984 and 630100020.

It is not an unprimeable number, because it can be changed into a prime (630100033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19693 + ... + 40595.

Almost surely, 2630100032 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 630100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838919328).

630100032 is an abundant number, since it is smaller than the sum of its proper divisors (1047738624).

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

630100032 is a wasteful number, since it uses less digits than its factorization.

630100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 630100032 is about 25101.7934020659. The cubic root of 630100032 is about 857.3072581165.

Adding to 630100032 its reverse (230001036), we get a palindrome (860101068).

The spelling of 630100032 in words is "six hundred thirty million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20903 30144 41806 62709 83612 125418 167224 250836 334448 501672 668896 1003344 1337792 2006688 3281771 4013376 6563542 9845313 13127084 19690626 26254168 39381252 52508336 78762504 105016672 157525008 210033344 315050016 630100032