Search a number
-
+
21981372 = 22371511733
BaseRepresentation
bin101001111011…
…0100010111100
31112100202202220
41103312202330
521111400442
62103045340
7354560430
oct123664274
945322686
1021981372
1111453a26
127440850
13472823a
142cc29c0
151de2eec
hex14f68bc

21981372 has 48 divisors (see below), whose sum is σ = 59039232. Its totient is φ = 6235200.

The previous prime is 21981343. The next prime is 21981373. The reversal of 21981372 is 27318912.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21981373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11818 + ... + 13550.

It is an arithmetic number, because the mean of its divisors is an integer number (1229984).

Almost surely, 221981372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21981372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29519616).

21981372 is an abundant number, since it is smaller than the sum of its proper divisors (37057860).

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

21981372 is a wasteful number, since it uses less digits than its factorization.

21981372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 21981372 is about 4688.4295878258. The cubic root of 21981372 is about 280.1248252964.

It can be divided in two parts, 2198 and 1372, that added together give a triangular number (3570 = T84).

The spelling of 21981372 in words is "twenty-one million, nine hundred eighty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1733 1812 2114 3171 3466 4228 5199 6342 6932 10398 12131 12684 20796 24262 36393 48524 72786 145572 261683 523366 785049 1046732 1570098 1831781 3140196 3663562 5495343 7327124 10990686 21981372