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11142032 = 2411293759
BaseRepresentation
bin101010100000…
…001110010000
3202222001222212
4222200032100
510323021112
61034451252
7163464026
oct52401620
922861885
1011142032
1163201a0
123893b28
132401625
1416a0716
15ea1522
hexaa0390

11142032 has 80 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4677120.

The previous prime is 11142029. The next prime is 11142049. The reversal of 11142032 is 23024111.

It is a junction number, because it is equal to n+sod(n) for n = 11141998 and 11142016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188819 + ... + 188877.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 211142032 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 11142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

11142032 is an abundant number, since it is smaller than the sum of its proper divisors (14302768).

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

11142032 is a wasteful number, since it uses less digits than its factorization.

11142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11142032 is about 3337.9682443067. The cubic root of 11142032 is about 223.3511195953.

Adding to 11142032 its reverse (23024111), we get a palindrome (34166143).

The spelling of 11142032 in words is "eleven million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 37 44 58 59 74 88 116 118 148 176 232 236 296 319 407 464 472 592 638 649 814 944 1073 1276 1298 1628 1711 2146 2183 2552 2596 3256 3422 4292 4366 5104 5192 6512 6844 8584 8732 10384 11803 13688 17168 17464 18821 23606 24013 27376 34928 37642 47212 48026 63307 75284 94424 96052 126614 150568 188848 192104 253228 301136 384208 506456 696377 1012912 1392754 2785508 5571016 11142032