Search a number
-
+
21397860 = 2232511101107
BaseRepresentation
bin101000110100…
…0000101100100
31111021010100100
41101220011210
520434212420
62042344100
7346610301
oct121500544
944233310
1021397860
1111095590
1271bb030
134582773
142bb00a8
151d2a190
hex1468164

21397860 has 144 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 5088000.

The previous prime is 21397847. The next prime is 21397867. The reversal of 21397860 is 6879312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21397867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199927 + ... + 200033.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 221397860 is an apocalyptic number.

21397860 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 21397860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

21397860 is an abundant number, since it is smaller than the sum of its proper divisors (50778972).

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

21397860 is a wasteful number, since it uses less digits than its factorization.

21397860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21397860 is about 4625.7820960352. The cubic root of 21397860 is about 277.6238551091.

It can be divided in two parts, 2139 and 7860, that added together give a palindrome (9999).

The spelling of 21397860 in words is "twenty-one million, three hundred ninety-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 107 110 132 165 180 198 202 214 220 303 321 330 396 404 428 495 505 535 606 642 660 909 963 990 1010 1070 1111 1177 1212 1284 1515 1605 1818 1926 1980 2020 2140 2222 2354 3030 3210 3333 3531 3636 3852 4444 4545 4708 4815 5555 5885 6060 6420 6666 7062 9090 9630 9999 10593 10807 11110 11770 13332 14124 16665 17655 18180 19260 19998 21186 21614 22220 23540 32421 33330 35310 39996 42372 43228 49995 52965 54035 64842 66660 70620 97263 99990 105930 108070 118877 129684 162105 194526 199980 211860 216140 237754 324210 356631 389052 475508 486315 594385 648420 713262 972630 1069893 1188770 1426524 1783155 1945260 2139786 2377540 3566310 4279572 5349465 7132620 10698930 21397860