Search a number
-
+
21291296 = 2513231127
BaseRepresentation
bin101000100111…
…0000100100000
31111001201011112
41101032010200
520422310141
62040202452
7345654515
oct121160440
944051145
1021291296
1111022514
127169428
134546100
142b8330c
151d087eb
hex144e120

21291296 has 72 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 9434880.

The previous prime is 21291287. The next prime is 21291301. The reversal of 21291296 is 69219212.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 167585 + ... + 167711.

It is an arithmetic number, because the mean of its divisors is an integer number (655872).

Almost surely, 221291296 is an apocalyptic number.

21291296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21291296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

21291296 is an abundant number, since it is smaller than the sum of its proper divisors (25931488).

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

21291296 is a wasteful number, since it uses less digits than its factorization.

21291296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 21291296 is about 4614.2492347076. The cubic root of 21291296 is about 277.1622208355.

The spelling of 21291296 in words is "twenty-one million, two hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 127 169 208 248 254 338 403 416 496 508 676 806 992 1016 1352 1612 1651 2032 2704 3224 3302 3937 4064 5239 5408 6448 6604 7874 10478 12896 13208 15748 20956 21463 26416 31496 41912 42926 51181 52832 62992 83824 85852 102362 125984 167648 171704 204724 343408 409448 665353 686816 818896 1330706 1637792 2661412 5322824 10645648 21291296