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6972468 = 2231953577
BaseRepresentation
bin11010100110010000110100
3111010020102120
4122212100310
53241104333
6405235540
7113156616
oct32462064
914106376
106972468
113a32578
122402bb0
1315a1829
14cd6db6
1592adb3
hex6a6434

6972468 has 48 divisors (see below), whose sum is σ = 17478720. Its totient is φ = 2156544.

The previous prime is 6972467. The next prime is 6972491. The reversal of 6972468 is 8642796.

It is a super-2 number, since 2×69724682 = 97230620022048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972467) 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, 11796 + ... + 12372.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 26972468 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 6972468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739360).

6972468 is an abundant number, since it is smaller than the sum of its proper divisors (10506252).

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

6972468 is a wasteful number, since it uses less digits than its factorization.

6972468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6972468 is about 2640.5431259497. The cubic root of 6972468 is about 191.0419943662.

The spelling of 6972468 in words is "six million, nine hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 577 636 1007 1154 1731 2014 2308 3021 3462 4028 6042 6924 10963 12084 21926 30581 32889 43852 61162 65778 91743 122324 131556 183486 366972 581039 1162078 1743117 2324156 3486234 6972468