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21350742 = 2371721759
BaseRepresentation
bin101000101110…
…0100101010110
31111011201201020
41101130211112
520431210432
62041342010
7346323030
oct121344526
944151636
1021350742
1111063146
127197906
13456719a
142b9ac50
151d1b22c
hex145c956

21350742 has 48 divisors (see below), whose sum is σ = 51870720. Its totient is φ = 5738112.

The previous prime is 21350741. The next prime is 21350753. The reversal of 21350742 is 24705312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21350741) 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, 11259 + ... + 13017.

It is an arithmetic number, because the mean of its divisors is an integer number (1080640).

Almost surely, 221350742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21350742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25935360).

21350742 is an abundant number, since it is smaller than the sum of its proper divisors (30519978).

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

21350742 is a wasteful number, since it uses less digits than its factorization.

21350742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 21350742 is about 4620.6863126596. The cubic root of 21350742 is about 277.4199298246.

The spelling of 21350742 in words is "twenty-one million, three hundred fifty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1734 1759 2023 3518 4046 5277 6069 10554 12138 12313 24626 29903 36939 59806 73878 89709 179418 209321 418642 508351 627963 1016702 1255926 1525053 3050106 3558457 7116914 10675371 21350742