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21354168 = 23311471721
BaseRepresentation
bin101000101110…
…1011010111000
31111011220102010
41101131122320
520431313133
62041405520
7346336023
oct121353270
944156363
1021354168
1111065780
1271998a0
134568904
142b9c1ba
151d1c263
hex145d6b8

21354168 has 64 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 6329600.

The previous prime is 21354167. The next prime is 21354181. The reversal of 21354168 is 86145312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21354167) 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 15 ways as a sum of consecutive naturals, for example, 11548 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 221354168 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 21354168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

21354168 is an abundant number, since it is smaller than the sum of its proper divisors (38158152).

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

21354168 is a wasteful number, since it uses less digits than its factorization.

21354168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1784 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 21354168 is about 4621.0570219377. The cubic root of 21354168 is about 277.4347675579.

The spelling of 21354168 in words is "twenty-one million, three hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 1721 2068 3102 3442 4136 5163 6204 6884 10326 12408 13768 18931 20652 37862 41304 56793 75724 80887 113586 151448 161774 227172 242661 323548 454344 485322 647096 889757 970644 1779514 1941288 2669271 3559028 5338542 7118056 10677084 21354168