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11142432 = 253275527
BaseRepresentation
bin101010100000…
…010100100000
3202222002112200
4222200110200
510323024212
61034453200
7163465140
oct52402440
922862480
1011142432
116320524
123894200
132401872
1416a0920
15ea16dc
hexaa0520

11142432 has 72 divisors (see below), whose sum is σ = 36219456. Its totient is φ = 3182976.

The previous prime is 11142427. The next prime is 11142449. The reversal of 11142432 is 23424111.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 748 + ... + 4779.

It is an arithmetic number, because the mean of its divisors is an integer number (503048).

Almost surely, 211142432 is an apocalyptic number.

11142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109728).

11142432 is an abundant number, since it is smaller than the sum of its proper divisors (25077024).

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

11142432 is a wasteful number, since it uses less digits than its factorization.

11142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5539 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11142432 is about 3338.0281604564. The cubic root of 11142432 is about 223.3537923388.

Adding to 11142432 its reverse (23424111), we get a palindrome (34566543).

The spelling of 11142432 in words is "eleven million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5527 11054 16581 22108 33162 38689 44216 49743 66324 77378 88432 99486 116067 132648 154756 176864 198972 232134 265296 309512 348201 397944 464268 530592 619024 696402 795888 928536 1238048 1392804 1591776 1857072 2785608 3714144 5571216 11142432