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21152142 = 23211317337
BaseRepresentation
bin101000010110…
…0000110001110
31110210122021200
41100230012032
520403332032
62033210330
7344535024
oct120540616
943718250
1021152142
1110a37a10
1271009a6
1344c797b
142b48714
151ccc47c
hex142c18e

21152142 has 48 divisors (see below), whose sum is σ = 50302512. Its totient is φ = 6370560.

The previous prime is 21152099. The next prime is 21152143. The reversal of 21152142 is 24125112.

It is a super-2 number, since 2×211521422 = 894826222376328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62598 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (1047969).

Almost surely, 221152142 is an apocalyptic number.

21152142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21152142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151256).

21152142 is an abundant number, since it is smaller than the sum of its proper divisors (29150370).

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

21152142 is a wasteful number, since it uses less digits than its factorization.

21152142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 21152142 is about 4599.1457902528. The cubic root of 21152142 is about 276.5570821308.

Adding to 21152142 its reverse (24125112), we get a palindrome (45277254).

The spelling of 21152142 in words is "twenty-one million, one hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 337 634 674 951 1011 1902 2022 2853 3033 3487 3707 5706 6066 6974 7414 10461 11121 20922 22242 31383 33363 62766 66726 106829 213658 320487 640974 961461 1175119 1922922 2350238 3525357 7050714 10576071 21152142