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21234132 = 22323153359
BaseRepresentation
bin101000100000…
…0000111010100
31110221210202100
41101000013110
520413443012
62035042100
7345326043
oct121000724
943853670
1021234132
1110a93577
127140330
13452609a
142b6a55a
151ce68dc
hex14401d4

21234132 has 72 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6701760.

The previous prime is 21234127. The next prime is 21234137. The reversal of 21234132 is 23143212.

It is an interprime number because it is at equal distance from previous prime (21234127) and next prime (21234137).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21234137) 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, 58969 + ... + 59327.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 221234132 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 21234132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

21234132 is an abundant number, since it is smaller than the sum of its proper divisors (35375148).

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

21234132 is a wasteful number, since it uses less digits than its factorization.

21234132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 21234132 is about 4608.0507809702. The cubic root of 21234132 is about 276.9139519073.

Adding to 21234132 its reverse (23143212), we get a palindrome (44377344).

The spelling of 21234132 in words is "twenty-one million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 359 372 477 558 636 718 954 1077 1116 1436 1643 1908 2154 3231 3286 4308 4929 6462 6572 9858 11129 12924 14787 19027 19716 22258 29574 33387 38054 44516 57081 59148 66774 76108 100161 114162 133548 171243 200322 228324 342486 400644 589837 684972 1179674 1769511 2359348 3539022 5308533 7078044 10617066 21234132