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632196960 = 25354612857
BaseRepresentation
bin100101101011101…
…000111101100000
31122001120221012020
4211223220331200
52243320300320
6142422101440
721444404553
oct4553507540
91561527166
10632196960
112a4949a2a
1215787a880
13a0c8c855
145dd6869a
153a77c940
hex25ae8f60

632196960 has 96 divisors (see below), whose sum is σ = 1996438752. Its totient is φ = 168161280.

The previous prime is 632196949. The next prime is 632196989. The reversal of 632196960 is 69691236.

632196960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219852 + ... + 222708.

It is an arithmetic number, because the mean of its divisors is an integer number (20796237).

Almost surely, 2632196960 is an apocalyptic number.

632196960 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 632196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998219376).

632196960 is an abundant number, since it is smaller than the sum of its proper divisors (1364241792).

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

632196960 is a wasteful number, since it uses less digits than its factorization.

632196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 632196960 is about 25143.5271988637. The cubic root of 632196960 is about 858.2572242399.

The spelling of 632196960 in words is "six hundred thirty-two million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 461 480 922 1383 1844 2305 2766 2857 3688 4610 5532 5714 6915 7376 8571 9220 11064 11428 13830 14285 14752 17142 18440 22128 22856 27660 28570 34284 36880 42855 44256 45712 55320 57140 68568 73760 85710 91424 110640 114280 137136 171420 221280 228560 274272 342840 457120 685680 1317077 1371360 2634154 3951231 5268308 6585385 7902462 10536616 13170770 15804924 19756155 21073232 26341540 31609848 39512310 42146464 52683080 63219696 79024620 105366160 126439392 158049240 210732320 316098480 632196960