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894680964 = 2234171271279
BaseRepresentation
bin110101010100111…
…011111110000100
32022100111111120000
4311110323332010
53313014242324
6224440041300
731112443212
oct6524737604
92270444500
10894680964
1141a02a061
1220b763230
13113483628
1486b73cb2
155382a9c9
hex3553bf84

894680964 has 120 divisors (see below), whose sum is σ = 2497904640. Its totient is φ = 278256384.

The previous prime is 894680959. The next prime is 894680989. The reversal of 894680964 is 469086498.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 894680964.

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 39 ways as a sum of consecutive naturals, for example, 698877 + ... + 700155.

It is an arithmetic number, because the mean of its divisors is an integer number (20815872).

Almost surely, 2894680964 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 894680964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248952320).

894680964 is an abundant number, since it is smaller than the sum of its proper divisors (1603223676).

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

894680964 is a wasteful number, since it uses less digits than its factorization.

894680964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 894680964 is about 29911.2180293615. The cubic root of 894680964 is about 963.5835982748.

The spelling of 894680964 in words is "eight hundred ninety-four million, six hundred eighty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 254 306 324 381 459 508 612 762 918 1143 1279 1377 1524 1836 2159 2286 2558 2754 3429 3837 4318 4572 5116 5508 6477 6858 7674 8636 10287 11511 12954 13716 15348 19431 20574 21743 23022 25908 34533 38862 41148 43486 46044 58293 65229 69066 77724 86972 103599 116586 130458 138132 162433 174879 195687 207198 233172 260916 324866 349758 391374 414396 487299 587061 649732 699516 782748 974598 1174122 1461897 1761183 1949196 2348244 2761361 2923794 3522366 4385691 5522722 5847588 7044732 8284083 8771382 11045444 13157073 16568166 17542764 24852249 26314146 33136332 49704498 52628292 74556747 99408996 149113494 223670241 298226988 447340482 894680964