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630456060 = 2235132333469
BaseRepresentation
bin100101100100111…
…111111011111100
31121221022111010110
4211210333323330
52242344043220
6142320510020
721423534213
oct4544777374
91557274113
10630456060
112a396aa73
1215717b310
13a0800330
145da3407a
153a536be0
hex2593fefc

630456060 has 96 divisors (see below), whose sum is σ = 1909776960. Its totient is φ = 154478592.

The previous prime is 630455989. The next prime is 630456089. The reversal of 630456060 is 60654036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 180006 + ... + 183474.

It is an arithmetic number, because the mean of its divisors is an integer number (19893510).

Almost surely, 2630456060 is an apocalyptic number.

630456060 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 630456060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954888480).

630456060 is an abundant number, since it is smaller than the sum of its proper divisors (1279320900).

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

630456060 is a wasteful number, since it uses less digits than its factorization.

630456060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 630456060 is about 25108.8840851202. The cubic root of 630456060 is about 857.4686969904.

The spelling of 630456060 in words is "six hundred thirty million, four hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 233 260 390 466 699 780 932 1165 1398 2330 2796 3029 3469 3495 4660 6058 6938 6990 9087 10407 12116 13876 13980 15145 17345 18174 20814 30290 34690 36348 41628 45097 45435 52035 60580 69380 90194 90870 104070 135291 180388 181740 208140 225485 270582 450970 541164 676455 808277 901940 1352910 1616554 2424831 2705820 3233108 4041385 4849662 8082770 9699324 10507601 12124155 16165540 21015202 24248310 31522803 42030404 48496620 52538005 63045606 105076010 126091212 157614015 210152020 315228030 630456060