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21692440 = 2357117043
BaseRepresentation
bin101001011000…
…0000000011000
31111211002102201
41102300000120
521023124230
62052535544
7352245160
oct122600030
944732381
1021692440
1111276940
1273215b4
134656883
142c495a0
151d875ca
hex14b0018

21692440 has 64 divisors (see below), whose sum is σ = 60860160. Its totient is φ = 6760320.

The previous prime is 21692387. The next prime is 21692453. The reversal of 21692440 is 4429612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21692399 and 21692408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 6601.

It is an arithmetic number, because the mean of its divisors is an integer number (950940).

Almost surely, 221692440 is an apocalyptic number.

21692440 is a gapful number since it is divisible by the number (20) 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 21692440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30430080).

21692440 is an abundant number, since it is smaller than the sum of its proper divisors (39167720).

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

21692440 is a wasteful number, since it uses less digits than its factorization.

21692440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 21692440 is about 4657.5143585393. The cubic root of 21692440 is about 278.8920502373.

The spelling of 21692440 in words is "twenty-one million, six hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 7043 14086 28172 35215 49301 56344 70430 77473 98602 140860 154946 197204 246505 281720 309892 387365 394408 493010 542311 619784 774730 986020 1084622 1549460 1972040 2169244 2711555 3098920 4338488 5423110 10846220 21692440