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499696560 = 243351121031
BaseRepresentation
bin11101110010001…
…100001110110000
31021211021012211000
4131302030032300
52010410242220
6121330122000
715245231166
oct3562141660
91254235730
10499696560
1123707a470
1211b420300
137c6a9c4c
144a517236
152dd08390
hex1dc8c3b0

499696560 has 160 divisors (see below), whose sum is σ = 1877736960. Its totient is φ = 121132800.

The previous prime is 499696559. The next prime is 499696601. The reversal of 499696560 is 65696994.

It is a happy number.

499696560 is a `hidden beast` number, since 499 + 6 + 96 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 499696497 and 499696506.

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, 13245 + ... + 34275.

It is an arithmetic number, because the mean of its divisors is an integer number (11735856).

Almost surely, 2499696560 is an apocalyptic number.

499696560 is a gapful number since it is divisible by the number (40) 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 499696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938868480).

499696560 is an abundant number, since it is smaller than the sum of its proper divisors (1378040400).

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

499696560 is a wasteful number, since it uses less digits than its factorization.

499696560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064 (or 21052 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 499696560 is about 22353.8936205754. The cubic root of 499696560 is about 793.5399331678.

The spelling of 499696560 in words is "four hundred ninety-nine million, six hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 21031 23760 42062 63093 84124 105155 126186 168248 189279 210310 231341 252372 315465 336496 378558 420620 462682 504744 567837 630930 694023 757116 841240 925364 946395 1009488 1135674 1156705 1261860 1388046 1514232 1682480 1850728 1892790 2082069 2271348 2313410 2523720 2776092 2839185 3028464 3470115 3701456 3785580 4164138 4542696 4626820 5047440 5552184 5678370 6246207 6940230 7571160 8328276 9085392 9253640 10410345 11104368 11356740 12492414 13880460 15142320 16656552 18507280 20820690 22713480 24984828 27760920 31231035 33313104 41641380 45426960 49969656 55521840 62462070 83282760 99939312 124924140 166565520 249848280 499696560