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77243660 = 225132312917
BaseRepresentation
bin1001001101010…
…10010100001100
312101100101101022
410212222110030
5124233244120
611355333312
71625363114
oct446522414
9171311338
1077243660
113a66933a
1221a51238
1313006910
14a38a044
156bac025
hex49aa50c

77243660 has 48 divisors (see below), whose sum is σ = 182298816. Its totient is φ = 27278592.

The previous prime is 77243659. The next prime is 77243671. The reversal of 77243660 is 6634277.

It is a self number, because there is not a number n which added to its sum of digits gives 77243660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (3797892).

Almost surely, 277243660 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 77243660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91149408).

77243660 is an abundant number, since it is smaller than the sum of its proper divisors (105055156).

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

77243660 is a wasteful number, since it uses less digits than its factorization.

77243660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 77243660 is about 8788.8372382244. The cubic root of 77243660 is about 425.8803619751.

The spelling of 77243660 in words is "seventy-seven million, two hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 12917 25834 51668 64585 129170 167921 258340 297091 335842 594182 671684 839605 1188364 1485455 1679210 2970910 3358420 3862183 5941820 7724366 15448732 19310915 38621830 77243660