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21014136 = 233211132157
BaseRepresentation
bin101000000101…
…0011001111000
31110112121222100
41100022121320
520334423021
62030223400
7343421463
oct120123170
943477870
1021014136
1110953260
127054b60
134479c00
142b102da
151ca1626
hex140a678

21014136 has 144 divisors (see below), whose sum is σ = 67658760. Its totient is φ = 5840640.

The previous prime is 21014131. The next prime is 21014167. The reversal of 21014136 is 63141012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133770 + ... + 133926.

Almost surely, 221014136 is an apocalyptic number.

21014136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21014136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33829380).

21014136 is an abundant number, since it is smaller than the sum of its proper divisors (46644624).

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

21014136 is a wasteful number, since it uses less digits than its factorization.

21014136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21014136 is about 4584.1177995335. The cubic root of 21014136 is about 275.9543087564.

Adding to 21014136 its reverse (63141012), we get a palindrome (84155148).

The spelling of 21014136 in words is "twenty-one million, fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 157 169 198 234 264 286 312 314 338 396 429 468 471 507 572 628 676 792 858 936 942 1014 1144 1256 1287 1352 1413 1521 1716 1727 1859 1884 2028 2041 2574 2826 3042 3432 3454 3718 3768 4056 4082 5148 5181 5577 5652 6084 6123 6908 7436 8164 10296 10362 11154 11304 12168 12246 13816 14872 15543 16328 16731 18369 20724 22308 22451 24492 26533 31086 33462 36738 41448 44616 44902 48984 53066 62172 66924 67353 73476 79599 89804 106132 124344 133848 134706 146952 159198 179608 202059 212264 238797 269412 291863 318396 404118 477594 538824 583726 636792 808236 875589 955188 1167452 1616472 1751178 1910376 2334904 2626767 3502356 5253534 7004712 10507068 21014136