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7960064 = 2972221
BaseRepresentation
bin11110010111011000000000
3112222102011012
4132113120000
54014210224
6442340052
7124442120
oct36273000
915872135
107960064
114547572
1227ba628
1318591c8
1410b2c80
15a7380e
hex797600

7960064 has 40 divisors (see below), whose sum is σ = 18184848. Its totient is φ = 3409920.

The previous prime is 7960039. The next prime is 7960067. The reversal of 7960064 is 4600697.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7960064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7960067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2474 + ... + 4694.

Almost surely, 27960064 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 7960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092424).

7960064 is an abundant number, since it is smaller than the sum of its proper divisors (10224784).

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

7960064 is an equidigital number, since it uses as much as digits as its factorization.

7960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 7960064 is about 2821.3585380097. The cubic root of 7960064 is about 199.6666446799. Note that the first 4 decimals are identical.

The spelling of 7960064 in words is "seven million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 2221 3584 4442 8884 15547 17768 31094 35536 62188 71072 124376 142144 248752 284288 497504 568576 995008 1137152 1990016 3980032 7960064