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11352042 = 23313103157
BaseRepresentation
bin101011010011…
…011111101010
3210100202002000
4223103133222
510401231132
61043151430
7165330222
oct53233752
923322060
1011352042
116453a59
123975576
1324760b0
141717082
15ee387c
hexad37ea

11352042 has 64 divisors (see below), whose sum is σ = 27605760. Its totient is φ = 3436992.

The previous prime is 11352037. The next prime is 11352049. The reversal of 11352042 is 24025311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11352049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72228 + ... + 72384.

It is an arithmetic number, because the mean of its divisors is an integer number (431340).

Almost surely, 211352042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802880).

11352042 is an abundant number, since it is smaller than the sum of its proper divisors (16253718).

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

11352042 is a wasteful number, since it uses less digits than its factorization.

11352042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11352042 is about 3369.2791513913. The cubic root of 11352042 is about 224.7456681764.

Adding to 11352042 its reverse (24025311), we get a palindrome (35377353).

The spelling of 11352042 in words is "eleven million, three hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 103 117 157 206 234 309 314 351 471 618 702 927 942 1339 1413 1854 2041 2678 2781 2826 4017 4082 4239 5562 6123 8034 8478 12051 12246 16171 18369 24102 32342 36153 36738 48513 55107 72306 97026 110214 145539 210223 291078 420446 436617 630669 873234 1261338 1892007 3784014 5676021 11352042