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20696544 = 25321147139
BaseRepresentation
bin100111011110…
…0110111100000
31102221111022200
41032330313200
520244242134
62015333200
7340626531
oct116746740
942844280
1020696544
1110756690
126b21200
13439849b
142a6a688
151c3c499
hex13bcde0

20696544 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6094080.

The previous prime is 20696521. The next prime is 20696549. The reversal of 20696544 is 44569602.

20696544 is a `hidden beast` number, since 20 + 6 + 96 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20696499 and 20696508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20696549) 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, 148827 + ... + 148965.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220696544 is an apocalyptic number.

20696544 is a gapful number since it is divisible by the number (24) 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 20696544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20696544 is an abundant number, since it is smaller than the sum of its proper divisors (45347616).

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

20696544 is a wasteful number, since it uses less digits than its factorization.

20696544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20696544 is about 4549.3454474243. The cubic root of 20696544 is about 274.5570566297.

The spelling of 20696544 in words is "twenty million, six hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 139 141 144 176 188 198 264 278 282 288 352 376 396 417 423 517 528 556 564 752 792 834 846 1034 1056 1112 1128 1251 1504 1529 1551 1584 1668 1692 2068 2224 2256 2502 3058 3102 3168 3336 3384 4136 4448 4512 4587 4653 5004 6116 6204 6533 6672 6768 8272 9174 9306 10008 12232 12408 13066 13344 13536 13761 16544 18348 18612 19599 20016 24464 24816 26132 27522 36696 37224 39198 40032 48928 49632 52264 55044 58797 71863 73392 74448 78396 104528 110088 117594 143726 146784 148896 156792 209056 215589 220176 235188 287452 313584 431178 440352 470376 574904 627168 646767 862356 940752 1149808 1293534 1724712 1881504 2299616 2587068 3449424 5174136 6898848 10348272 20696544