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21405252 = 22311315231
BaseRepresentation
bin101000110100…
…1111001000100
31111021111111010
41101221321010
520434432002
62042442220
7346640661
oct121517104
944244433
1021405252
11110a00a0
127203370
134585c3b
142bb2a68
151d2c46c
hex1469e44

21405252 has 48 divisors (see below), whose sum is σ = 56254464. Its totient is φ = 6276000.

The previous prime is 21405247. The next prime is 21405253. The reversal of 21405252 is 25250412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21405253) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1477 + ... + 6707.

It is an arithmetic number, because the mean of its divisors is an integer number (1171968).

Almost surely, 221405252 is an apocalyptic number.

21405252 is a gapful number since it is divisible by the number (22) 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 21405252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28127232).

21405252 is an abundant number, since it is smaller than the sum of its proper divisors (34849212).

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

21405252 is a wasteful number, since it uses less digits than its factorization.

21405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 21405252 is about 4626.5810270652. The cubic root of 21405252 is about 277.6558202880.

Adding to 21405252 its reverse (25250412), we get a palindrome (46655664).

The spelling of 21405252 in words is "twenty-one million, four hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 5231 10462 15693 20924 31386 57541 62772 115082 162161 172623 230164 324322 345246 486483 648644 690492 972966 1783771 1945932 3567542 5351313 7135084 10702626 21405252