Search a number
-
+
966649060 = 22513231091483
BaseRepresentation
bin111001100111011…
…110010011100100
32111100220212020001
4321213132103210
53434430232220
6235530351044
732645244556
oct7147362344
92440825201
10966649060
11456714823
1222b88b484
13125360bc0
14925494d6
1559ce480a
hex399de4e4

966649060 has 96 divisors (see below), whose sum is σ = 2303642880. Its totient is φ = 338038272.

The previous prime is 966649049. The next prime is 966649063. The reversal of 966649060 is 60946669.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 966649060.

It is not an unprimeable number, because it can be changed into a prime (966649063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651079 + ... + 652561.

It is an arithmetic number, because the mean of its divisors is an integer number (23996280).

Almost surely, 2966649060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966649060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151821440).

966649060 is an abundant number, since it is smaller than the sum of its proper divisors (1336993820).

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

966649060 is a wasteful number, since it uses less digits than its factorization.

966649060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 966649060 is about 31090.9803640863. The cubic root of 966649060 is about 988.7570907031.

The spelling of 966649060 in words is "nine hundred sixty-six million, six hundred forty-nine thousand, sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 109 115 130 218 230 260 299 436 460 545 598 1090 1196 1417 1483 1495 2180 2507 2834 2966 2990 5014 5668 5932 5980 7085 7415 10028 12535 14170 14830 19279 25070 28340 29660 32591 34109 38558 50140 65182 68218 77116 96395 130364 136436 161647 162955 170545 192790 323294 325910 341090 385580 443417 646588 651820 682180 808235 886834 1616470 1773668 2101411 2217085 3232940 3717881 4202822 4434170 7435762 8405644 8868340 10507055 14871524 18589405 21014110 37178810 42028220 48332453 74357620 96664906 193329812 241662265 483324530 966649060