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663558240 = 253511231231
BaseRepresentation
bin100111100011010…
…001100001100000
31201020121020210010
4213203101201200
52324332330430
6145502204520
722305103062
oct4743214140
91636536703
10663558240
1131061a144
12166283740
13a7620317
14641ad732
153d3c4cb0
hex278d1860

663558240 has 96 divisors (see below), whose sum is σ = 2093769216. Its totient is φ = 176647680.

The previous prime is 663558197. The next prime is 663558271. The reversal of 663558240 is 42855366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 538425 + ... + 539655.

It is an arithmetic number, because the mean of its divisors is an integer number (21810096).

Almost surely, 2663558240 is an apocalyptic number.

663558240 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 663558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046884608).

663558240 is an abundant number, since it is smaller than the sum of its proper divisors (1430210976).

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

663558240 is a wasteful number, since it uses less digits than its factorization.

663558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 663558240 is about 25759.6242208616. The cubic root of 663558240 is about 872.2206186443.

The spelling of 663558240 in words is "six hundred sixty-three million, five hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1123 1231 2246 2462 3369 3693 4492 4924 5615 6155 6738 7386 8984 9848 11230 12310 13476 14772 16845 17968 18465 19696 22460 24620 26952 29544 33690 35936 36930 39392 44920 49240 53904 59088 67380 73860 89840 98480 107808 118176 134760 147720 179680 196960 269520 295440 539040 590880 1382413 2764826 4147239 5529652 6912065 8294478 11059304 13824130 16588956 20736195 22118608 27648260 33177912 41472390 44237216 55296520 66355824 82944780 110593040 132711648 165889560 221186080 331779120 663558240