Search a number
-
+
816420920 = 235717171517
BaseRepresentation
bin110000101010011…
…001100000111000
32002220020110221212
4300222121200320
53133000432140
6213002422252
726142314630
oct6052314070
92086213855
10816420920
11389937137
121a9501988
131001b2203
147a6016c0
154ba1c765
hex30a99838

816420920 has 64 divisors (see below), whose sum is σ = 2222873280. Its totient is φ = 263448576.

The previous prime is 816420907. The next prime is 816420931. The reversal of 816420920 is 29024618.

It is a super-2 number, since 2×8164209202 = 1333086237227292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80999 + ... + 90518.

It is an arithmetic number, because the mean of its divisors is an integer number (34732395).

Almost surely, 2816420920 is an apocalyptic number.

It is an amenable number.

816420920 is an abundant number, since it is smaller than the sum of its proper divisors (1406452360).

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

816420920 is a wasteful number, since it uses less digits than its factorization.

816420920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171552 (or 171548 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 816420920 is about 28573.0803379685. The cubic root of 816420920 is about 934.6263942451.

The spelling of 816420920 in words is "eight hundred sixteen million, four hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 171517 343034 686068 857585 1200619 1372136 1715170 2401238 2915789 3430340 4802476 5831578 6003095 6860680 9604952 11663156 12006190 14578945 20410523 23326312 24012380 29157890 40821046 48024760 58315780 81642092 102052615 116631560 163284184 204105230 408210460 816420920