Search a number
-
+
402000204 = 223299711909
BaseRepresentation
bin10111111101100…
…000100101001100
31001000102201121110
4113331200211030
51310403001304
6103520132020
712650642154
oct2775404514
91030381543
10402000204
11196a11781
12b2767010
1365391b58
143b565764
152545b289
hex17f6094c

402000204 has 48 divisors (see below), whose sum is σ = 980431200. Its totient is φ = 128034816.

The previous prime is 402000199. The next prime is 402000239.

It can be divided in two parts, 402000 and 204, that added together give a palindrome (402204).

402000204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 402000204.

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, 27802 + ... + 39710.

It is an arithmetic number, because the mean of its divisors is an integer number (20425650).

Almost surely, 2402000204 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 402000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490215600).

402000204 is an abundant number, since it is smaller than the sum of its proper divisors (578430996).

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

402000204 is a wasteful number, since it uses less digits than its factorization.

402000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402000204 is about 20049.9427430604. The cubic root of 402000204 is about 738.0323940511.

The spelling of 402000204 in words is "four hundred two million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 8439 11252 11909 16878 23818 33756 35727 47636 71454 142908 345361 690722 1036083 1155173 1381444 2072166 2310346 3465519 4144332 4620692 6931038 13862076 33500017 67000034 100500051 134000068 201000102 402000204