Search a number
-
+
21346528 = 257233409
BaseRepresentation
bin101000101101…
…1100011100000
31111011111221011
41101123203200
520431042103
62041310304
7346304530
oct121334340
944144834
1021346528
111105aa65
127195394
1345652a8
142b994c0
151d19d6d
hex145b8e0

21346528 has 48 divisors (see below), whose sum is σ = 48353760. Its totient is φ = 9086976.

The previous prime is 21346517. The next prime is 21346537. The reversal of 21346528 is 82564312.

It is a self number, because there is not a number n which added to its sum of digits gives 21346528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51988 + ... + 52396.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 221346528 is an apocalyptic number.

21346528 is a gapful number since it is divisible by the number (28) 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 21346528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24176880).

21346528 is an abundant number, since it is smaller than the sum of its proper divisors (27007232).

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

21346528 is a wasteful number, since it uses less digits than its factorization.

21346528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 21346528 is about 4620.2302972904. The cubic root of 21346528 is about 277.4016771490.

The spelling of 21346528 in words is "twenty-one million, three hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 409 466 818 932 1631 1636 1864 2863 3262 3272 3728 5726 6524 6544 7456 11452 13048 13088 22904 26096 45808 52192 91616 95297 190594 381188 667079 762376 1334158 1524752 2668316 3049504 5336632 10673264 21346528