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21740416 = 271797103
BaseRepresentation
bin101001011101…
…1101110000000
31111220112020121
41102323232000
521031143131
62053550024
7352535065
oct122735600
944815217
1021740416
11112a9995
127345314
134672669
142c5cc6c
151d96911
hex14bbb80

21740416 has 64 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 10027008.

The previous prime is 21740387. The next prime is 21740417. The reversal of 21740416 is 61404712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21740417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211021 + ... + 211123.

Almost surely, 221740416 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 21740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

21740416 is an abundant number, since it is smaller than the sum of its proper divisors (25040864).

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

21740416 is a wasteful number, since it uses less digits than its factorization.

21740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 21740416 is about 4662.6619006743. The cubic root of 21740416 is about 279.0975023529.

The spelling of 21740416 in words is "twenty-one million, seven hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 103 128 136 194 206 272 388 412 544 776 824 1088 1552 1648 1649 1751 2176 3104 3296 3298 3502 6208 6592 6596 7004 9991 12416 13184 13192 14008 19982 26384 28016 39964 52768 56032 79928 105536 112064 159856 169847 211072 224128 319712 339694 639424 679388 1278848 1358776 2717552 5435104 10870208 21740416