Search a number
-
+
21413040 = 2435118111
BaseRepresentation
bin101000110101…
…1110010110000
31111021220011120
41101223302300
520440204130
62042542240
7350002455
oct121536260
944256146
1021413040
11110a5a30
127207980
13458964c
142bb582c
151d2e910
hex146bcb0

21413040 has 80 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 5190400.

The previous prime is 21413039. The next prime is 21413053. The reversal of 21413040 is 4031412.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1416 + ... + 6695.

Almost surely, 221413040 is an apocalyptic number.

21413040 is a gapful number since it is divisible by the number (20) 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 21413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

21413040 is an abundant number, since it is smaller than the sum of its proper divisors (51010896).

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

21413040 is a wasteful number, since it uses less digits than its factorization.

21413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21413040 is about 4627.4226087532. The cubic root of 21413040 is about 277.6894899271.

Adding to 21413040 its reverse (4031412), we get a palindrome (25444452).

The spelling of 21413040 in words is "twenty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8111 16222 24333 32444 40555 48666 64888 81110 89221 97332 121665 129776 162220 178442 194664 243330 267663 324440 356884 389328 446105 486660 535326 648880 713768 892210 973320 1070652 1338315 1427536 1784420 1946640 2141304 2676630 3568840 4282608 5353260 7137680 10706520 21413040