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966677940 = 223255370433
BaseRepresentation
bin111001100111100…
…101010110110100
32111100222022211200
4321213211112310
53434432143230
6235531132500
732645425014
oct7147452664
92440868750
10966677940
11456734498
1222b8a4130
131253710a7
1492555c44
1559ced160
hex399e55b4

966677940 has 36 divisors (see below), whose sum is σ = 2932256964. Its totient is φ = 257780736.

The previous prime is 966677927. The next prime is 966677981. The reversal of 966677940 is 49776669.

It can be written as a sum of positive squares in 2 ways, for example, as 228251664 + 738426276 = 15108^2 + 27174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2685037 + ... + 2685396.

Almost surely, 2966677940 is an apocalyptic number.

966677940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966677940 is an abundant number, since it is smaller than the sum of its proper divisors (1965579024).

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

966677940 is a wasteful number, since it uses less digits than its factorization.

966677940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370448 (or 5370443 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 966677940 is about 31091.4448039971. Note that the first 3 decimals coincide. The cubic root of 966677940 is about 988.7669374412.

The spelling of 966677940 in words is "nine hundred sixty-six million, six hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5370433 10740866 16111299 21481732 26852165 32222598 48333897 53704330 64445196 80556495 96667794 107408660 161112990 193335588 241669485 322225980 483338970 966677940