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632289140 = 22572798167
BaseRepresentation
bin100101101011111…
…111011101110100
31122001202121122022
4211223333131310
52243331223030
6142424052312
721445240400
oct4553773564
91561677568
10632289140
112a4a0220a
12157904098
13a0cc27b2
145dd90100
153a799de5
hex25aff774

632289140 has 72 divisors (see below), whose sum is σ = 1564335360. Its totient is φ = 214014528.

The previous prime is 632289121. The next prime is 632289187. The reversal of 632289140 is 41982236.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 632289140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73337 + ... + 81503.

It is an arithmetic number, because the mean of its divisors is an integer number (21726880).

Almost surely, 2632289140 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 632289140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782167680).

632289140 is an abundant number, since it is smaller than the sum of its proper divisors (932046220).

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

632289140 is a wasteful number, since it uses less digits than its factorization.

632289140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 632289140 is about 25145.3602081975. The cubic root of 632289140 is about 858.2989360856.

The spelling of 632289140 in words is "six hundred thirty-two million, two hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 790 980 1106 1580 2212 2765 3871 5530 7742 8167 11060 15484 16334 19355 32668 38710 40835 57169 77420 81670 114338 163340 228676 285845 400183 571690 645193 800366 1143380 1290386 1600732 2000915 2580772 3225965 4001830 4516351 6451930 8003660 9032702 12903860 18065404 22581755 31614457 45163510 63228914 90327020 126457828 158072285 316144570 632289140