Search a number
-
+
77087340 = 223251138933
BaseRepresentation
bin1001001100001…
…00001001101100
312101001102221200
410212010021230
5124213243330
611352125500
71624142301
oct446041154
9171042850
1077087340
113a571950
1221996890
1312c80715
14a3490a8
156b7aa60
hex498426c

77087340 has 72 divisors (see below), whose sum is σ = 255095568. Its totient is φ = 18687360.

The previous prime is 77087293. The next prime is 77087383. The reversal of 77087340 is 4378077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77087295 and 77087304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17487 + ... + 21446.

It is an arithmetic number, because the mean of its divisors is an integer number (3542994).

Almost surely, 277087340 is an apocalyptic number.

It is an amenable number.

77087340 is an abundant number, since it is smaller than the sum of its proper divisors (178008228).

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

77087340 is a wasteful number, since it uses less digits than its factorization.

77087340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38959 (or 38954 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77087340 is about 8779.9396353278. The cubic root of 77087340 is about 425.5928795778.

The spelling of 77087340 in words is "seventy-seven million, eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 38933 77866 116799 155732 194665 233598 350397 389330 428263 467196 583995 700794 778660 856526 1167990 1284789 1401588 1713052 1751985 2141315 2335980 2569578 3503970 3854367 4282630 5139156 6423945 7007940 7708734 8565260 12847890 15417468 19271835 25695780 38543670 77087340