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21938364 = 2234717569
BaseRepresentation
bin101001110110…
…0000010111100
31112021120210000
41103230002330
521104011424
62102114300
7354321150
oct123540274
945246700
1021938364
1111424688
12741b990
1347117a6
142cb1060
151dd53c9
hex14ec0bc

21938364 has 120 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 5889024.

The previous prime is 21938353. The next prime is 21938377. The reversal of 21938364 is 46383912.

21938364 is a `hidden beast` number, since 219 + 383 + 64 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38272 + ... + 38840.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 221938364 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 21938364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

21938364 is an abundant number, since it is smaller than the sum of its proper divisors (47583396).

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

21938364 is a wasteful number, since it uses less digits than its factorization.

21938364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21938364 is about 4683.8407317073. The cubic root of 21938364 is about 279.9420118010.

It can be divided in two parts, 219 and 38364, that added together give a palindrome (38583).

The spelling of 21938364 in words is "twenty-one million, nine hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 569 612 714 756 918 1071 1134 1138 1377 1428 1707 1836 2142 2268 2276 2754 3213 3414 3983 4284 5121 5508 6426 6828 7966 9639 9673 10242 11949 12852 15363 15932 19278 19346 20484 23898 29019 30726 35847 38556 38692 46089 47796 58038 61452 67711 71694 87057 92178 107541 116076 135422 143388 174114 184356 203133 215082 261171 270844 322623 348228 406266 430164 522342 609399 645246 783513 812532 1044684 1218798 1290492 1567026 1828197 2437596 3134052 3656394 5484591 7312788 10969182 21938364