Search a number
-
+
7693056 = 2834753
BaseRepresentation
bin11101010110001100000000
3112110211220000
4131112030000
53432134211
6432520000
7122250510
oct35261400
915424800
107693056
1143849a8
1226b0000
131794807
141043840
15a1e656
hex756300

7693056 has 180 divisors, whose sum is σ = 26710992. Its totient is φ = 2156544.

The previous prime is 7693039. The next prime is 7693057. The reversal of 7693056 is 6503967.

It is a happy number.

It is a super-2 number, since 2×76930562 = 118366221238272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7693056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7693057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145126 + ... + 145178.

Almost surely, 27693056 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 7693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355496).

7693056 is an abundant number, since it is smaller than the sum of its proper divisors (19017936).

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

7693056 is an equidigital number, since it uses as much as digits as its factorization.

7693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 7693056 is about 2773.6358809332. The cubic root of 7693056 is about 197.4087042660.

The spelling of 7693056 in words is "seven million, six hundred ninety-three thousand, fifty-six".