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802074 = 237132113
BaseRepresentation
bin11000011110100011010
31111202020110
43003310122
5201131244
625105150
76550260
oct3036432
91452213
10802074
114a8679
123281b6
13221100
1416c430
1510c9b9
hexc3d1a

802074 has 48 divisors (see below), whose sum is σ = 2002752. Its totient is φ = 209664.

The previous prime is 802073. The next prime is 802103. The reversal of 802074 is 470208.

It is a happy number.

802074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 802074.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802074.

It is not an unprimeable number, because it can be changed into a prime (802073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7042 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (41724).

2802074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001376).

802074 is an abundant number, since it is smaller than the sum of its proper divisors (1200678).

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

802074 is a wasteful number, since it uses less digits than its factorization.

802074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 802074 is about 895.5858417818. The cubic root of 802074 is about 92.9119295737.

The spelling of 802074 in words is "eight hundred two thousand, seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 113 169 182 226 273 338 339 507 546 678 791 1014 1183 1469 1582 2366 2373 2938 3549 4407 4746 7098 8814 10283 19097 20566 30849 38194 57291 61698 114582 133679 267358 401037 802074