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21417008 = 2417711109
BaseRepresentation
bin101000110110…
…0110000110000
31111022002121112
41101230300300
520440321013
62043012452
7350020154
oct121546060
944262545
1021417008
11110a8a08
12720a128
13458b3b2
142bb7064
151d30ba8
hex146cc30

21417008 has 40 divisors (see below), whose sum is σ = 44595360. Its totient is φ = 9927680.

The previous prime is 21416999. The next prime is 21417023. The reversal of 21417008 is 80071412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18758 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (1114884).

Almost surely, 221417008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21417008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297680).

21417008 is an abundant number, since it is smaller than the sum of its proper divisors (23178352).

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

21417008 is a wasteful number, since it uses less digits than its factorization.

21417008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 21417008 is about 4627.8513372839. The cubic root of 21417008 is about 277.7066415294.

The spelling of 21417008 in words is "twenty-one million, four hundred seventeen thousand, eight".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1109 1136 1207 2218 2414 4436 4828 8872 9656 17744 18853 19312 37706 75412 78739 150824 157478 301648 314956 629912 1259824 1338563 2677126 5354252 10708504 21417008