Search a number
-
+
21494664 = 23321721033
BaseRepresentation
bin101000111111…
…1101110001000
31111110001010200
41101333232020
521000312124
62044412200
7350462442
oct121775610
944401120
1021494664
1111151294
127247060
1345b7849
142bd7492
151d48bc9
hex147fb88

21494664 has 72 divisors (see below), whose sum is σ = 61900410. Its totient is φ = 6736896.

The previous prime is 21494663. The next prime is 21494677. The reversal of 21494664 is 46649412.

It can be written as a sum of positive squares in 3 ways, for example, as 20629764 + 864900 = 4542^2 + 930^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21494663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20292 + ... + 21324.

Almost surely, 221494664 is an apocalyptic number.

21494664 is a gapful number since it is divisible by the number (24) 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 21494664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950205).

21494664 is an abundant number, since it is smaller than the sum of its proper divisors (40405746).

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

21494664 is a wasteful number, since it uses less digits than its factorization.

21494664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1055 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 21494664 is about 4636.2338163643. The cubic root of 21494664 is about 278.0418824809.

The spelling of 21494664 in words is "twenty-one million, four hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1033 1156 1224 1734 2066 2312 2601 3099 3468 4132 5202 6198 6936 8264 9297 10404 12396 17561 18594 20808 24792 35122 37188 52683 70244 74376 105366 140488 158049 210732 298537 316098 421464 597074 632196 895611 1194148 1264392 1791222 2388296 2686833 3582444 5373666 7164888 10747332 21494664