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801164 = 227133171
BaseRepresentation
bin11000011100110001100
31111200222202
43003212030
5201114124
625101032
76544520
oct3034614
91450882
10801164
114a7a21
12327778
13220880
1416bd80
1510c5ae
hexc398c

801164 has 48 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 302400.

The previous prime is 801137. The next prime is 801179. The reversal of 801164 is 461108.

801164 = T27 + T28 + ... + T168.

It is a zygodrome in base 2.

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, 11249 + ... + 11319.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2801164 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 801164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168).

801164 is an abundant number, since it is smaller than the sum of its proper divisors (1005172).

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

801164 is a wasteful number, since it uses less digits than its factorization.

801164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 801164 is about 895.0776502628. The cubic root of 801164 is about 92.8767782652.

The spelling of 801164 in words is "eight hundred one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 71 91 124 142 182 217 284 364 403 434 497 806 868 923 994 1612 1846 1988 2201 2821 3692 4402 5642 6461 8804 11284 12922 15407 25844 28613 30814 57226 61628 114452 200291 400582 801164