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21141132 = 22317313343
BaseRepresentation
bin101000010100…
…1011010001100
31110210002011220
41100221122030
520403004012
62033043340
7344460645
oct120513214
943702156
1021141132
1110a2a711
1270b6550
1344c295c
142b446cc
151cc908c
hex142968c

21141132 has 48 divisors (see below), whose sum is σ = 53932032. Its totient is φ = 6416640.

The previous prime is 21141103. The next prime is 21141137. The reversal of 21141132 is 23114112.

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

It is not an unprimeable number, because it can be changed into a prime (21141137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1123584).

Almost surely, 221141132 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 21141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966016).

21141132 is an abundant number, since it is smaller than the sum of its proper divisors (32790900).

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

21141132 is a wasteful number, since it uses less digits than its factorization.

21141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3396 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 21141132 is about 4597.9486730498. The cubic root of 21141132 is about 276.5090897977.

Adding to 21141132 its reverse (23114112), we get a palindrome (44255244).

The spelling of 21141132 in words is "twenty-one million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 3343 6324 6686 10029 13372 20058 40116 56831 103633 113662 170493 207266 227324 310899 340986 414532 621798 681972 1243596 1761761 3523522 5285283 7047044 10570566 21141132