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632390820 = 2235172921379
BaseRepresentation
bin100101101100011…
…000010010100100
31122001221210010020
4211230120102210
52243343001240
6142430155140
721446143005
oct4554302244
91561853106
10632390820
112a4a71646
12157952ab0
13a1029b69
145ddb91ac
153a7ba0d0
hex25b184a4

632390820 has 96 divisors (see below), whose sum is σ = 1939593600. Its totient is φ = 153237504.

The previous prime is 632390807. The next prime is 632390839. The reversal of 632390820 is 28093236.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18891 + ... + 40269.

It is an arithmetic number, because the mean of its divisors is an integer number (20204100).

Almost surely, 2632390820 is an apocalyptic number.

632390820 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 632390820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969796800).

632390820 is an abundant number, since it is smaller than the sum of its proper divisors (1307202780).

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

632390820 is a wasteful number, since it uses less digits than its factorization.

632390820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21437 (or 21435 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 632390820 is about 25147.3819710919. The cubic root of 632390820 is about 858.3449420200.

The spelling of 632390820 in words is "six hundred thirty-two million, three hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 14790 21379 29580 42758 64137 85516 106895 128274 213790 256548 320685 363443 427580 619991 641370 726886 1090329 1239982 1282740 1453772 1817215 1859973 2180658 2479964 3099955 3634430 3719946 4361316 5451645 6199910 7268860 7439892 9299865 10539847 10903290 12399820 18599730 21079694 21806580 31619541 37199460 42159388 52699235 63239082 105398470 126478164 158097705 210796940 316195410 632390820