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6972804 = 223421521
BaseRepresentation
bin11010100110010110000100
3111010020220000
4122212112010
53241112204
6405241300
7113160606
oct32462604
914106800
106972804
113a32853
122403230
1315a1a27
14cd7176
1592b039
hex6a6584

6972804 has 30 divisors (see below), whose sum is σ = 18229134. Its totient is φ = 2324160.

The previous prime is 6972793. The next prime is 6972811. The reversal of 6972804 is 4082796.

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 980100 = 2448^2 + 990^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10437 + ... + 11084.

Almost surely, 26972804 is an apocalyptic number.

It is an amenable number.

6972804 is an abundant number, since it is smaller than the sum of its proper divisors (11256330).

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

6972804 is a wasteful number, since it uses less digits than its factorization.

6972804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6972804 is about 2640.6067484576. The cubic root of 6972804 is about 191.0450630587.

Adding to 6972804 its product of nonzero digits (24192), we get a palindrome (6996996).

It can be divided in two parts, 6972 and 804, that added together give a 5-th power (7776 = 65).

The spelling of 6972804 in words is "six million, nine hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 21521 43042 64563 86084 129126 193689 258252 387378 581067 774756 1162134 1743201 2324268 3486402 6972804