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6972933 = 311239187
BaseRepresentation
bin11010100110011000000101
3111010021001210
4122212120011
53241113213
6405242033
7113161152
oct32463005
914107053
106972933
113a32960
122403319
1315a1ac6
14cd7229
1592b0c3
hex6a6605

6972933 has 16 divisors (see below), whose sum is σ = 10584576. Its totient is φ = 4041840.

The previous prime is 6972899. The next prime is 6972961. The reversal of 6972933 is 3392796.

It is a de Polignac number, because none of the positive numbers 2k-6972933 is a prime.

It is a d-powerful number, because it can be written as 66 + 93 + 75 + 23 + 96 + 313 + 314 .

It is a junction number, because it is equal to n+sod(n) for n = 6972891 and 6972900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3835 + ... + 5352.

It is an arithmetic number, because the mean of its divisors is an integer number (661536).

Almost surely, 26972933 is an apocalyptic number.

It is an amenable number.

6972933 is a deficient number, since it is larger than the sum of its proper divisors (3611643).

6972933 is a wasteful number, since it uses less digits than its factorization.

6972933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224.

The product of its digits is 61236, while the sum is 39.

The square root of 6972933 is about 2640.6311745490. The cubic root of 6972933 is about 191.0462411912.

The spelling of 6972933 in words is "six million, nine hundred seventy-two thousand, nine hundred thirty-three".

Divisors: 1 3 11 23 33 69 253 759 9187 27561 101057 211301 303171 633903 2324311 6972933