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21738906 = 2327374663
BaseRepresentation
bin101001011101…
…1010110011010
31111220110011200
41102323112122
521031121111
62053535030
7352530510
oct122732632
944813150
1021738906
11112a8842
127344476
134671a77
142c5c4b0
151d96256
hex14bb59a

21738906 has 48 divisors (see below), whose sum is σ = 55296384. Its totient is φ = 6041952.

The previous prime is 21738901. The next prime is 21738911. The reversal of 21738906 is 60983712.

It is an interprime number because it is at equal distance from previous prime (21738901) and next prime (21738911).

It is not an unprimeable number, because it can be changed into a prime (21738901) 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, 2331 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (1152008).

Almost surely, 221738906 is an apocalyptic number.

It is a pronic number, being equal to 4662×4663.

It is a practical number, because each smaller number is the sum of distinct divisors of 21738906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648192).

21738906 is an abundant number, since it is smaller than the sum of its proper divisors (33557478).

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

21738906 is a wasteful number, since it uses less digits than its factorization.

21738906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21738906 is about 4662.4999731903. The cubic root of 21738906 is about 279.0910405479.

The spelling of 21738906 in words is "twenty-one million, seven hundred thirty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 4663 9326 13989 27978 32641 41967 65282 83934 97923 172531 195846 293769 345062 517593 587538 1035186 1207717 1552779 2415434 3105558 3623151 7246302 10869453 21738906