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21249396 = 22327374353
BaseRepresentation
bin101000100001…
…1110101110100
31110222120200200
41101003311310
520414440041
62035240500
7345421410
oct121036564
943876620
1021249396
1110aa3a93
127149130
13453000c
142b71d40
151ceb1b6
hex1443d74

21249396 has 144 divisors (see below), whose sum is σ = 65729664. Its totient is φ = 5660928.

The previous prime is 21249331. The next prime is 21249443. The reversal of 21249396 is 69394212.

21249396 is a `hidden beast` number, since 21 + 249 + 396 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 21249396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400906 + ... + 400958.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 221249396 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 21249396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864832).

21249396 is an abundant number, since it is smaller than the sum of its proper divisors (44480268).

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

21249396 is a wasteful number, since it uses less digits than its factorization.

21249396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 21249396 is about 4609.7067151826. The cubic root of 21249396 is about 276.9802885355.

The spelling of 21249396 in words is "twenty-one million, two hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 53 63 74 84 86 106 111 126 129 148 159 172 212 222 252 258 259 301 318 333 371 387 444 477 516 518 602 636 666 742 774 777 903 954 1036 1113 1204 1332 1484 1548 1554 1591 1806 1908 1961 2226 2279 2331 2709 3108 3182 3339 3612 3922 4452 4558 4662 4773 5418 5883 6364 6678 6837 7844 9116 9324 9546 10836 11137 11766 13356 13674 13727 14319 15953 17649 19092 20511 22274 23532 27348 27454 28638 31906 33411 35298 41022 41181 44548 47859 54908 57276 63812 66822 70596 82044 82362 84323 95718 100233 123543 133644 143577 164724 168646 191436 200466 247086 252969 287154 337292 400932 494172 505938 574308 590261 758907 1011876 1180522 1517814 1770783 2361044 3035628 3541566 5312349 7083132 10624698 21249396