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21620196 = 2235132959
BaseRepresentation
bin101001001111…
…0010111100100
31111200102100000
41102132113210
521013321241
62051221300
7351524433
oct122362744
944612300
1021620196
1111227634
1272a7830
13462ca20
142c2b11a
151d70eb6
hex149e5e4

21620196 has 144 divisors (see below), whose sum is σ = 64209600. Its totient is φ = 6314112.

The previous prime is 21620189. The next prime is 21620197. The reversal of 21620196 is 69102612.

21620196 is a `hidden beast` number, since 21 + 620 + 19 + 6 = 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 (21620197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366415 + ... + 366473.

It is an arithmetic number, because the mean of its divisors is an integer number (445900).

Almost surely, 221620196 is an apocalyptic number.

21620196 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 21620196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104800).

21620196 is an abundant number, since it is smaller than the sum of its proper divisors (42589404).

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

21620196 is a wasteful number, since it uses less digits than its factorization.

21620196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21620196 is about 4649.7522514646. The cubic root of 21620196 is about 278.5821006900.

The spelling of 21620196 in words is "twenty-one million, six hundred twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 59 78 81 87 108 116 117 118 156 162 174 177 234 236 243 261 324 348 351 354 377 468 486 522 531 702 708 754 767 783 972 1044 1053 1062 1131 1404 1508 1534 1566 1593 1711 2106 2124 2262 2301 2349 3068 3132 3159 3186 3393 3422 4212 4524 4602 4698 4779 5133 6318 6372 6786 6844 6903 7047 9204 9396 9558 10179 10266 12636 13572 13806 14094 14337 15399 19116 20358 20532 20709 22243 27612 28188 28674 30537 30798 40716 41418 44486 46197 57348 61074 61596 62127 66729 82836 88972 91611 92394 122148 124254 133458 138591 183222 184788 186381 200187 248508 266916 277182 366444 372762 400374 415773 554364 600561 745524 800748 831546 1201122 1663092 1801683 2402244 3603366 5405049 7206732 10810098 21620196