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21768054 = 23721153127
BaseRepresentation
bin101001100001…
…0011101110110
31111221221011020
41103002131312
521033034204
62054322010
7353011500
oct123023566
944857136
1021768054
1111318730
127359306
134682109
142c68d70
151d9ebd9
hex14c2776

21768054 has 96 divisors (see below), whose sum is σ = 56733696. Its totient is φ = 5503680.

The previous prime is 21768049. The next prime is 21768059. The reversal of 21768054 is 45086712.

It is an interprime number because it is at equal distance from previous prime (21768049) and next prime (21768059).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21768059) 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, 171339 + ... + 171465.

It is an arithmetic number, because the mean of its divisors is an integer number (590976).

Almost surely, 221768054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21768054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366848).

21768054 is an abundant number, since it is smaller than the sum of its proper divisors (34965642).

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

21768054 is a wasteful number, since it uses less digits than its factorization.

21768054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 21768054 is about 4665.6247170127. The cubic root of 21768054 is about 279.2157219604.

The spelling of 21768054 in words is "twenty-one million, seven hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 127 147 154 159 231 254 294 318 371 381 462 539 583 742 762 889 1078 1113 1166 1397 1617 1749 1778 2226 2597 2667 2794 3234 3498 4081 4191 5194 5334 6223 6731 7791 8162 8382 9779 12243 12446 13462 15582 18669 19558 20193 24486 28567 29337 37338 40386 47117 57134 58674 68453 74041 85701 94234 136906 141351 148082 171402 205359 222123 282702 329819 410718 444246 518287 659638 989457 1036574 1554861 1978914 3109722 3628009 7256018 10884027 21768054