Search a number
-
+
12961650 = 23521317223
BaseRepresentation
bin110001011100…
…011101110010
3220101112001010
4301130131302
511304233100
61141451350
7215113032
oct61343562
926345033
1012961650
117353309
124410b56
1328ba920
141a158c2
151210750
hexc5c772

12961650 has 144 divisors (see below), whose sum is σ = 38372544. Its totient is φ = 2872320.

The previous prime is 12961621. The next prime is 12961657. The reversal of 12961650 is 5616921.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 563539 + ... + 563561.

It is an arithmetic number, because the mean of its divisors is an integer number (266476).

Almost surely, 212961650 is an apocalyptic number.

12961650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186272).

12961650 is an abundant number, since it is smaller than the sum of its proper divisors (25410894).

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

12961650 is a wasteful number, since it uses less digits than its factorization.

12961650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12961650 is about 3600.2291593731. The cubic root of 12961650 is about 234.9020264601.

The spelling of 12961650 in words is "twelve million, nine hundred sixty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 23 25 26 30 34 39 46 50 51 65 69 75 78 85 102 115 130 138 150 170 195 221 230 255 289 299 325 345 390 391 425 442 510 575 578 598 650 663 690 782 850 867 897 975 1105 1150 1173 1275 1326 1445 1495 1725 1734 1794 1950 1955 2210 2346 2550 2890 2990 3315 3450 3757 3910 4335 4485 5083 5525 5865 6630 6647 7225 7475 7514 8670 8970 9775 10166 11050 11271 11730 13294 14450 14950 15249 16575 18785 19550 19941 21675 22425 22542 25415 29325 30498 33150 33235 37570 39882 43350 44850 50830 56355 58650 66470 76245 86411 93925 99705 112710 127075 152490 166175 172822 187850 199410 254150 259233 281775 332350 381225 432055 498525 518466 563550 762450 864110 997050 1296165 2160275 2592330 4320550 6480825 12961650