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7972068 = 2231323931
BaseRepresentation
bin11110011010010011100100
3120000000121210
4132122103210
54020101233
6442511420
7124522116
oct36322344
916000553
107972068
114555595
122805570
131861800
1410b73b6
15a77163
hex79a4e4

7972068 has 36 divisors (see below), whose sum is σ = 20147568. Its totient is φ = 2452320.

The previous prime is 7972061. The next prime is 7972087. The reversal of 7972068 is 8602797.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7972061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 3993.

Almost surely, 27972068 is an apocalyptic number.

7972068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7972068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073784).

7972068 is an abundant number, since it is smaller than the sum of its proper divisors (12175500).

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

7972068 is a wasteful number, since it uses less digits than its factorization.

7972068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7972068 is about 2823.4850805343. The cubic root of 7972068 is about 199.7669619050.

The spelling of 7972068 in words is "seven million, nine hundred seventy-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3931 7862 11793 15724 23586 47172 51103 102206 153309 204412 306618 613236 664339 1328678 1993017 2657356 3986034 7972068