Search a number
-
+
21497724 = 2235171301
BaseRepresentation
bin101001000000…
…0011101111100
31111110012100000
41102000131330
521000411344
62044434300
7350504403
oct122003574
944405300
1021497724
1111153616
127248990
1345b9061
142bd863a
151d49a69
hex148077c

21497724 has 72 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 6739200.

The previous prime is 21497699. The next prime is 21497731. The reversal of 21497724 is 42779412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15874 + ... + 17174.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 221497724 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 21497724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

21497724 is an abundant number, since it is smaller than the sum of its proper divisors (38217204).

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

21497724 is a wasteful number, since it uses less digits than its factorization.

21497724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 21497724 is about 4636.5638138604. The cubic root of 21497724 is about 278.0550759537.

The spelling of 21497724 in words is "twenty-one million, four hundred ninety-seven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1301 1377 1836 2602 2754 3903 4131 5204 5508 7806 8262 11709 15612 16524 22117 23418 35127 44234 46836 66351 70254 88468 105381 132702 140508 199053 210762 265404 316143 398106 421524 597159 632286 796212 1194318 1264572 1791477 2388636 3582954 5374431 7165908 10748862 21497724