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7636068 = 22321121753
BaseRepresentation
bin11101001000010001100100
3112100221201100
4131020101210
53423323233
6431400100
7121622406
oct35102144
915327640
107636068
114346100
122683030
1317748ab
14102ab76
15a0c813
hex748464

7636068 has 54 divisors (see below), whose sum is σ = 21228662. Its totient is φ = 2312640.

The previous prime is 7636067. The next prime is 7636073. The reversal of 7636068 is 8606367.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 3175524 = 2112^2 + 1782^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7636067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3480 + ... + 5232.

Almost surely, 27636068 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 7636068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614331).

7636068 is an abundant number, since it is smaller than the sum of its proper divisors (13592594).

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

7636068 is a wasteful number, since it uses less digits than its factorization.

7636068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7636068 is about 2763.3436268405. The cubic root of 7636068 is about 196.9200462305.

Subtracting 7636068 from its reverse (8606367), we obtain a cube (970299 = 993).

The spelling of 7636068 in words is "seven million, six hundred thirty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1753 2178 3506 4356 5259 7012 10518 15777 19283 21036 31554 38566 57849 63108 77132 115698 173547 212113 231396 347094 424226 636339 694188 848452 1272678 1909017 2545356 3818034 7636068