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21780816 = 24323109181
BaseRepresentation
bin101001100010…
…1100101010000
31111222120122220
41103011211100
521033441231
62054501040
7353063631
oct123054520
944876586
1021780816
1111327282
127364780
134687b75
142c6d888
151da3896
hex14c5950

21780816 has 80 divisors (see below), whose sum is σ = 59579520. Its totient is φ = 6842880.

The previous prime is 21780809. The next prime is 21780823. The reversal of 21780816 is 61808712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21780809) and next prime (21780823).

It is a congruent number.

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, 120246 + ... + 120426.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 221780816 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 21780816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

21780816 is an abundant number, since it is smaller than the sum of its proper divisors (37798704).

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

21780816 is a wasteful number, since it uses less digits than its factorization.

21780816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 21780816 is about 4666.9921791235. The cubic root of 21780816 is about 279.2702767514.

The spelling of 21780816 in words is "twenty-one million, seven hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 181 184 218 276 327 362 368 436 543 552 654 724 872 1086 1104 1308 1448 1744 2172 2507 2616 2896 4163 4344 5014 5232 7521 8326 8688 10028 12489 15042 16652 19729 20056 24978 30084 33304 39458 40112 49956 59187 60168 66608 78916 99912 118374 120336 157832 199824 236748 315664 453767 473496 907534 946992 1361301 1815068 2722602 3630136 5445204 7260272 10890408 21780816