Search a number
-
+
21380640 = 253544543
BaseRepresentation
bin101000110001…
…1111000100000
31111020020201120
41101203320200
520433140030
62042132240
7346506141
oct121437040
944206646
1021380640
1111083656
1271b1080
134577988
142ba7ac8
151d25010
hex1463e20

21380640 has 48 divisors (see below), whose sum is σ = 67350528. Its totient is φ = 5701376.

The previous prime is 21380621. The next prime is 21380657. The reversal of 21380640 is 4608312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21380640.

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, 21792 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (1403136).

Almost surely, 221380640 is an apocalyptic number.

21380640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21380640 is an abundant number, since it is smaller than the sum of its proper divisors (45969888).

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

21380640 is a wasteful number, since it uses less digits than its factorization.

21380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44561 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21380640 is about 4623.9204145400. The cubic root of 21380640 is about 277.5493622115.

Adding to 21380640 its reverse (4608312), we get a palindrome (25988952).

The spelling of 21380640 in words is "twenty-one million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44543 89086 133629 178172 222715 267258 356344 445430 534516 668145 712688 890860 1069032 1336290 1425376 1781720 2138064 2672580 3563440 4276128 5345160 7126880 10690320 21380640