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21410208 = 2532174373
BaseRepresentation
bin101000110101…
…1000110100000
31111021202021200
41101223012200
520440111313
62042521200
7346661301
oct121530640
944252250
1021410208
11110a3896
127206200
134588281
142bb47a8
151d2db73
hex146b1a0

21410208 has 72 divisors (see below), whose sum is σ = 64481508. Its totient is φ = 6715392.

The previous prime is 21410189. The next prime is 21410219. The reversal of 21410208 is 80201412.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 725904 = 4548^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2710 + ... + 7082.

Almost surely, 221410208 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 21410208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32240754).

21410208 is an abundant number, since it is smaller than the sum of its proper divisors (43071300).

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

21410208 is a wasteful number, since it uses less digits than its factorization.

21410208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21410208 is about 4627.1165967587. The cubic root of 21410208 is about 277.6772473667.

The spelling of 21410208 in words is "twenty-one million, four hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4373 4896 8746 13119 17492 26238 34984 39357 52476 69968 74341 78714 104952 139936 148682 157428 209904 223023 297364 314856 419808 446046 594728 629712 669069 892092 1189456 1259424 1338138 1784184 2378912 2676276 3568368 5352552 7136736 10705104 21410208