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21540402 = 2321327397
BaseRepresentation
bin101001000101…
…0111000110010
31111112100212200
41102022320302
521003243102
62045404030
7351043002
oct122127062
944470780
1021540402
1111182694
127269616
134602600
142c0a002
151d5751c
hex148ae32

21540402 has 72 divisors (see below), whose sum is σ = 51757524. Its totient is φ = 6469632.

The previous prime is 21540383. The next prime is 21540437. The reversal of 21540402 is 20404512.

It can be written as a sum of positive squares in 6 ways, for example, as 3316041 + 18224361 = 1821^2 + 4269^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222018 + ... + 222114.

Almost surely, 221540402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21540402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878762).

21540402 is an abundant number, since it is smaller than the sum of its proper divisors (30217122).

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

21540402 is a wasteful number, since it uses less digits than its factorization.

21540402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 21540402 is about 4641.1638626534. The cubic root of 21540402 is about 278.2389557351.

Adding to 21540402 its reverse (20404512), we get a palindrome (41944914).

The spelling of 21540402 in words is "twenty-one million, five hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 97 117 146 169 194 219 234 291 338 438 507 582 657 873 949 1014 1261 1314 1521 1746 1898 2522 2847 3042 3783 5694 7081 7566 8541 11349 12337 14162 16393 17082 21243 22698 24674 32786 37011 42486 49179 63729 74022 92053 98358 111033 127458 147537 184106 222066 276159 295074 552318 828477 1196689 1656954 2393378 3590067 7180134 10770201 21540402