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21353416 = 2372194761
BaseRepresentation
bin101000101110…
…1001111001000
31111011212101021
41101131033020
520431302131
62041402224
7346333600
oct121351710
944155337
1021353416
1111065157
127199374
134568476
142b9bc00
151d1be11
hex145d3c8

21353416 has 96 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 8346240.

The previous prime is 21353401. The next prime is 21353417. The reversal of 21353416 is 61435312.

It is not an unprimeable number, because it can be changed into a prime (21353417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350026 + ... + 350086.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 221353416 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 21353416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

21353416 is an abundant number, since it is smaller than the sum of its proper divisors (29536184).

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

21353416 is a wasteful number, since it uses less digits than its factorization.

21353416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 21353416 is about 4620.9756545561. The cubic root of 21353416 is about 277.4315108417.

Adding to 21353416 its reverse (61435312), we get a palindrome (82788728).

The spelling of 21353416 in words is "twenty-one million, three hundred fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 47 49 56 61 76 94 98 122 133 152 188 196 244 266 329 376 392 427 488 532 658 854 893 931 1064 1159 1316 1708 1786 1862 2303 2318 2632 2867 2989 3416 3572 3724 4606 4636 5734 5978 6251 7144 7448 8113 9212 9272 11468 11956 12502 16226 18424 20069 22936 23912 25004 32452 40138 43757 50008 54473 56791 64904 80276 87514 108946 113582 140483 160552 175028 217892 227164 280966 350056 381311 435784 454328 561932 762622 1123864 1525244 2669177 3050488 5338354 10676708 21353416