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631360120 = 235192231901
BaseRepresentation
bin100101101000011…
…100101001111000
31122000000102021011
4211220130221320
52243112010440
6142352123304
721434321026
oct4550345170
91560012234
10631360120
112a4428226
12157536534
13a0a58991
145dbcb716
153a6649ea
hex25a1ca78

631360120 has 96 divisors (see below), whose sum is σ = 1565269920. Its totient is φ = 228729600.

The previous prime is 631360109. The next prime is 631360141. The reversal of 631360120 is 21063136.

It is a super-2 number, since 2×6313601202 = 797231202252828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 631360091 and 631360100.

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, 331170 + ... + 333070.

It is an arithmetic number, because the mean of its divisors is an integer number (16304895).

Almost surely, 2631360120 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 631360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782634960).

631360120 is an abundant number, since it is smaller than the sum of its proper divisors (933909800).

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

631360120 is a wasteful number, since it uses less digits than its factorization.

631360120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 631360120 is about 25126.8804271442. The cubic root of 631360120 is about 857.8783649292.

The spelling of 631360120 in words is "six hundred thirty-one million, three hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 361 380 437 460 722 760 874 920 1444 1748 1805 1901 2185 2888 3496 3610 3802 4370 7220 7604 8303 8740 9505 14440 15208 16606 17480 19010 33212 36119 38020 41515 43723 66424 72238 76040 83030 87446 144476 166060 174892 180595 218615 288952 332120 349784 361190 437230 686261 722380 830737 874460 1372522 1444760 1661474 1748920 2745044 3322948 3431305 4153685 5490088 6645896 6862610 8307370 13725220 15784003 16614740 27450440 31568006 33229480 63136012 78920015 126272024 157840030 315680060 631360120