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630064560 = 24355634663
BaseRepresentation
bin100101100011100…
…000010110110000
31121220120121002110
4211203200112300
52242244031220
6142304245320
721420313626
oct4543402660
91556517073
10630064560
112a3722914
12157010840
13a06c4088
145d971516
153a4aabe0
hex258e05b0

630064560 has 80 divisors (see below), whose sum is σ = 1957089024. Its totient is φ = 167682816.

The previous prime is 630064559. The next prime is 630064573. The reversal of 630064560 is 65460036.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 132789 + ... + 137451.

Almost surely, 2630064560 is an apocalyptic number.

630064560 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 630064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978544512).

630064560 is an abundant number, since it is smaller than the sum of its proper divisors (1327024464).

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

630064560 is a wasteful number, since it uses less digits than its factorization.

630064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5236 counting only the distinct ones).

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

The square root of 630064560 is about 25101.0868290598. The cubic root of 630064560 is about 857.2911702086.

The spelling of 630064560 in words is "six hundred thirty million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563 1126 1689 2252 2815 3378 4504 4663 5630 6756 8445 9008 9326 11260 13512 13989 16890 18652 22520 23315 27024 27978 33780 37304 45040 46630 55956 67560 69945 74608 93260 111912 135120 139890 186520 223824 279780 373040 559560 1119120 2625269 5250538 7875807 10501076 13126345 15751614 21002152 26252690 31503228 39379035 42004304 52505380 63006456 78758070 105010760 126012912 157516140 210021520 315032280 630064560