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11265642 = 234197353
BaseRepresentation
bin101010111110…
…011001101010
3210012100120000
4222332121222
510341000032
61041243430
7164520303
oct52763152
923170500
1011265642
1163a5053
123933576
13244597b
1416d37aa
15ec7e7c
hexabe66a

11265642 has 40 divisors (see below), whose sum is σ = 25443396. Its totient is φ = 3725568.

The previous prime is 11265629. The next prime is 11265643. The reversal of 11265642 is 24656211.

11265642 is a `hidden beast` number, since 1 + 1 + 2 + 656 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10439361 + 826281 = 3231^2 + 909^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11265643) 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, 31738 + ... + 32090.

Almost surely, 211265642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11265642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721698).

11265642 is an abundant number, since it is smaller than the sum of its proper divisors (14177754).

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

11265642 is a wasteful number, since it uses less digits than its factorization.

11265642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11265642 is about 3356.4329279758. The cubic root of 11265642 is about 224.1740383204.

The spelling of 11265642 in words is "eleven million, two hundred sixty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 353 394 591 706 1059 1182 1773 2118 3177 3546 5319 6354 9531 10638 15957 19062 28593 31914 57186 69541 139082 208623 417246 625869 1251738 1877607 3755214 5632821 11265642