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63106290 = 2345132461
BaseRepresentation
bin1111000010111…
…0110011110010
311101202010120000
43300232303302
5112123400130
610132330430
71364252232
oct360566362
9141663500
1063106290
1132692765
1219173a16
13100c6b00
148549cc2
155818260
hex3c2ecf2

63106290 has 120 divisors (see below), whose sum is σ = 184141188. Its totient is φ = 15500160.

The previous prime is 63106279. The next prime is 63106301. The reversal of 63106290 is 9260136.

It is a happy number.

63106290 is a `hidden beast` number, since 6 + 31 + 0 + 629 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63106279) and next prime (63106301).

It can be written as a sum of positive squares in 6 ways, for example, as 3337929 + 59768361 = 1827^2 + 7731^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136660 + ... + 137120.

Almost surely, 263106290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63106290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92070594).

63106290 is an abundant number, since it is smaller than the sum of its proper divisors (121034898).

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

63106290 is a wasteful number, since it uses less digits than its factorization.

63106290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 63106290 is about 7943.9467520874. The cubic root of 63106290 is about 398.1293696591.

The spelling of 63106290 in words is "sixty-three million, one hundred six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 169 195 234 270 338 351 390 405 461 507 585 702 810 845 922 1014 1053 1170 1383 1521 1690 1755 2106 2305 2535 2766 3042 3510 4149 4563 4610 5070 5265 5993 6915 7605 8298 9126 10530 11986 12447 13689 13830 15210 17979 20745 22815 24894 27378 29965 35958 37341 41490 45630 53937 59930 62235 68445 74682 77909 89895 107874 124470 136890 155818 161811 179790 186705 233727 269685 323622 373410 389545 467454 485433 539370 701181 779090 809055 970866 1168635 1402362 1618110 2103543 2337270 2427165 3505905 4207086 4854330 6310629 7011810 10517715 12621258 21035430 31553145 63106290