Search a number
-
+
966649140 = 22355198899
BaseRepresentation
bin111001100111011…
…110010100110100
32111100220212100000
4321213132110310
53434430233030
6235530351300
732645245032
oct7147362464
92440825300
10966649140
11456714896
1222b88b530
13125360c52
1492549552
1559ce4860
hex399de534

966649140 has 72 divisors (see below), whose sum is σ = 3040783200. Its totient is φ = 257771808.

The previous prime is 966649093. The next prime is 966649147. The reversal of 966649140 is 41946669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966649147) 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 23 ways as a sum of consecutive naturals, for example, 94590 + ... + 104309.

It is an arithmetic number, because the mean of its divisors is an integer number (42233100).

Almost surely, 2966649140 is an apocalyptic number.

966649140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966649140 is an abundant number, since it is smaller than the sum of its proper divisors (2074134060).

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

966649140 is a wasteful number, since it uses less digits than its factorization.

966649140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198923 (or 198909 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 966649140 is about 31090.9816506330. The cubic root of 966649140 is about 988.7571179796.

The spelling of 966649140 in words is "nine hundred sixty-six million, six hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 198899 397798 596697 795596 994495 1193394 1790091 1988990 2386788 2983485 3580182 3977980 5370273 5966970 7160364 8950455 10740546 11933940 16110819 17900910 21481092 26851365 32221638 35801820 48332457 53702730 64443276 80554095 96664914 107405460 161108190 193329828 241662285 322216380 483324570 966649140