Search a number
-
+
21164010 = 2357313251
BaseRepresentation
bin101000010111…
…0111111101010
31110211020120020
41100232333222
520404222020
62033341310
7344614440
oct120567752
943736506
1021164010
1110a4591a
127107836
1345001aa
142b4cb90
151cd0c40
hex142efea

21164010 has 64 divisors (see below), whose sum is σ = 59940864. Its totient is φ = 4680000.

The previous prime is 21163999. The next prime is 21164029. The reversal of 21164010 is 1046112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4885 + ... + 8135.

It is an arithmetic number, because the mean of its divisors is an integer number (936576).

Almost surely, 221164010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21164010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29970432).

21164010 is an abundant number, since it is smaller than the sum of its proper divisors (38776854).

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

21164010 is a wasteful number, since it uses less digits than its factorization.

21164010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 21164010 is about 4600.4358489169. The cubic root of 21164010 is about 276.6087958184.

The spelling of 21164010 in words is "twenty-one million, one hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3251 3255 6502 6510 9753 16255 19506 22757 32510 45514 48765 68271 97530 100781 113785 136542 201562 227570 302343 341355 503905 604686 682710 705467 1007810 1410934 1511715 2116401 3023430 3527335 4232802 7054670 10582005 21164010