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21619136 = 2671141107
BaseRepresentation
bin101001001111…
…0000111000000
31111200100212202
41102132013000
521013303021
62051212332
7351521360
oct122360700
944610782
1021619136
1111226860
1272a70a8
13462c3b6
142c2a9a0
151d70a0b
hex149e1c0

21619136 has 112 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 8140800.

The previous prime is 21619127. The next prime is 21619139. The reversal of 21619136 is 63191612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 21619099 and 21619108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21619139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201995 + ... + 202101.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 221619136 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 21619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

21619136 is an abundant number, since it is smaller than the sum of its proper divisors (33683776).

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

21619136 is a wasteful number, since it uses less digits than its factorization.

21619136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 21619136 is about 4649.6382654998. The cubic root of 21619136 is about 278.5775478196.

The spelling of 21619136 in words is "twenty-one million, six hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 107 112 154 164 176 214 224 287 308 328 352 428 448 451 574 616 656 704 749 856 902 1148 1177 1232 1312 1498 1712 1804 2296 2354 2464 2624 2996 3157 3424 3608 4387 4592 4708 4928 5992 6314 6848 7216 8239 8774 9184 9416 11984 12628 14432 16478 17548 18368 18832 23968 25256 28864 30709 32956 35096 37664 47936 48257 50512 61418 65912 70192 75328 96514 101024 122836 131824 140384 193028 202048 245672 263648 280768 337799 386056 491344 527296 675598 772112 982688 1351196 1544224 1965376 2702392 3088448 5404784 10809568 21619136