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21634074 = 233711343
BaseRepresentation
bin101001010000…
…1110000011010
31111201010101000
41102201300122
521014242244
62051405430
7351613050
oct122416032
944633330
1021634074
1111237000
1272b3876
134636137
142c321d0
151d75169
hex14a1c1a

21634074 has 128 divisors (see below), whose sum is σ = 61839360. Its totient is φ = 5488560.

The previous prime is 21634073. The next prime is 21634079. The reversal of 21634074 is 47043612.

21634074 is a `hidden beast` number, since 21 + 634 + 0 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21634073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503097 + ... + 503139.

It is an arithmetic number, because the mean of its divisors is an integer number (483120).

Almost surely, 221634074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21634074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919680).

21634074 is an abundant number, since it is smaller than the sum of its proper divisors (40205286).

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

21634074 is a wasteful number, since it uses less digits than its factorization.

21634074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 21634074 is about 4651.2443496338. The cubic root of 21634074 is about 278.6416952077.

Adding to 21634074 its reverse (47043612), we get a palindrome (68677686).

The spelling of 21634074 in words is "twenty-one million, six hundred thirty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 86 99 121 126 129 154 189 198 231 242 258 297 301 363 378 387 462 473 594 602 693 726 774 847 903 946 1089 1161 1331 1386 1419 1694 1806 2079 2178 2322 2541 2662 2709 2838 3267 3311 3993 4158 4257 5082 5203 5418 6534 6622 7623 7986 8127 8514 9317 9933 10406 11979 12771 15246 15609 16254 18634 19866 22869 23958 25542 27951 29799 31218 35937 36421 45738 46827 55902 57233 59598 71874 72842 83853 89397 93654 109263 114466 140481 167706 171699 178794 218526 251559 280962 327789 343398 400631 503118 515097 655578 801262 983367 1030194 1201893 1545291 1966734 2403786 3090582 3605679 7211358 10817037 21634074