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816930 = 232529313
BaseRepresentation
bin11000111011100100010
31112111121200
43013130202
5202120210
625302030
76641502
oct3073442
91474550
10816930
11508854
12334916
13227aba
14173a02
151120c0
hexc7722

816930 has 48 divisors (see below), whose sum is σ = 2204280. Its totient is φ = 209664.

The previous prime is 816929. The next prime is 816941. The reversal of 816930 is 39618.

816930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 393129 + 423801 = 627^2 + 651^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 816894 and 816903.

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, 2454 + ... + 2766.

2816930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102140).

816930 is an abundant number, since it is smaller than the sum of its proper divisors (1387350).

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

816930 is a wasteful number, since it uses less digits than its factorization.

816930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 816930 is about 903.8418003168. The cubic root of 816930 is about 93.4820616258.

The spelling of 816930 in words is "eight hundred sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 313 435 522 626 870 939 1305 1565 1878 2610 2817 3130 4695 5634 9077 9390 14085 18154 27231 28170 45385 54462 81693 90770 136155 163386 272310 408465 816930