Search a number
-
+
677890764 = 2232313716417
BaseRepresentation
bin101000011001111…
…100101011001100
31202020120102022100
4220121330223030
52342020001024
6151133315100
722540655625
oct5031745314
91666512270
10677890764
11318719401
1216b035a90
13aa59abc5
1466060a4c
153e7a67c9
hex2867cacc

677890764 has 72 divisors (see below), whose sum is σ = 1816750208. Its totient is φ = 212751360.

The previous prime is 677890739. The next prime is 677890777. The reversal of 677890764 is 467098776.

677890764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 677890764.

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, 33084 + ... + 49500.

Almost surely, 2677890764 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 677890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908375104).

677890764 is an abundant number, since it is smaller than the sum of its proper divisors (1138859444).

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

677890764 is a wasteful number, since it uses less digits than its factorization.

677890764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495 (or 16490 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 677890764 is about 26036.3354564347. The cubic root of 677890764 is about 878.4557818149.

The spelling of 677890764 in words is "six hundred seventy-seven million, eight hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 16417 20646 32834 41292 49251 65668 98502 147753 197004 295506 508927 591012 607429 1017854 1214858 1526781 1822287 2035708 2429716 3053562 3644574 4580343 5466861 6107124 7289148 9160686 10933722 18321372 18830299 21867444 37660598 56490897 75321196 112981794 169472691 225963588 338945382 677890764