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631205120 = 2857135419
BaseRepresentation
bin100101100111110…
…110110100000000
31121222201112122102
4211213312310000
52243042030440
6142344525532
721433104110
oct4547666400
91558645572
10631205120
112a4331827
121574808a8
13a0a03270
145db8b040
153a633b15
hex259f6d00

631205120 has 144 divisors (see below), whose sum is σ = 1861184640. Its totient is φ = 199729152.

The previous prime is 631205063. The next prime is 631205129. The reversal of 631205120 is 21502136.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 631205092 and 631205101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631205129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113771 + ... + 119189.

Almost surely, 2631205120 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 631205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930592320).

631205120 is an abundant number, since it is smaller than the sum of its proper divisors (1229979520).

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

631205120 is a wasteful number, since it uses less digits than its factorization.

631205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 631205120 is about 25123.7958915447. The cubic root of 631205120 is about 857.8081556433.

Adding to 631205120 its reverse (21502136), we get a palindrome (652707256).

The spelling of 631205120 in words is "six hundred thirty-one million, two hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2912 3328 3640 4160 4480 5419 5824 7280 8320 8960 10838 11648 14560 16640 21676 23296 27095 29120 37933 43352 54190 58240 70447 75866 86704 108380 116480 140894 151732 173408 189665 216760 281788 303464 346816 352235 379330 433520 493129 563576 606928 693632 704470 758660 867040 986258 1127152 1213856 1387264 1408940 1517320 1734080 1972516 2254304 2427712 2465645 2817880 3034640 3468160 3945032 4508608 4855424 4931290 5635760 6069280 6936320 7890064 9017216 9710848 9862580 11271520 12138560 15780128 18034432 19725160 22543040 24277120 31560256 39450320 45086080 48554240 63120512 78900640 90172160 126241024 157801280 315602560 631205120