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632671260 = 2235136113297
BaseRepresentation
bin100101101101011…
…100110000011100
31122002111000210220
4211231130300130
52243430440020
6142440201340
721451421424
oct4555346034
91562430726
10632671260
112a5143311
12157a69250
13a10c76c0
146004d484
153a823240
hex25b5cc1c

632671260 has 96 divisors (see below), whose sum is σ = 1939167552. Its totient is φ = 153169920.

The previous prime is 632671241. The next prime is 632671261. The reversal of 632671260 is 62176236.

632671260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632671261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40932 + ... + 54228.

It is an arithmetic number, because the mean of its divisors is an integer number (20199662).

Almost surely, 2632671260 is an apocalyptic number.

632671260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632671260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969583776).

632671260 is an abundant number, since it is smaller than the sum of its proper divisors (1306496292).

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

632671260 is a wasteful number, since it uses less digits than its factorization.

632671260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 632671260 is about 25152.9572814013. The cubic root of 632671260 is about 858.4718038035.

The spelling of 632671260 in words is "six hundred thirty-two million, six hundred seventy-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3660 3965 4758 7930 9516 11895 13297 15860 23790 26594 39891 47580 53188 66485 79782 132970 159564 172861 199455 265940 345722 398910 518583 691444 797820 811117 864305 1037166 1622234 1728610 2074332 2433351 2592915 3244468 3457220 4055585 4866702 5185830 8111170 9733404 10371660 10544521 12166755 16222340 21089042 24333510 31633563 42178084 48667020 52722605 63267126 105445210 126534252 158167815 210890420 316335630 632671260