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21140946 = 2333173173
BaseRepresentation
bin101000010100…
…1010111010010
31110210001221000
41100221113102
520403002241
62033042430
7344460261
oct120512722
943701830
1021140946
1110a2a562
1270b6416
1344c2848
142b445d8
151cc8eb6
hex14295d2

21140946 has 64 divisors (see below), whose sum is σ = 49443840. Its totient is φ = 6687360.

The previous prime is 21140921. The next prime is 21140957. The reversal of 21140946 is 64904112.

21140946 is a `hidden beast` number, since 211 + 409 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122116 + ... + 122288.

It is an arithmetic number, because the mean of its divisors is an integer number (772560).

Almost surely, 221140946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721920).

21140946 is an abundant number, since it is smaller than the sum of its proper divisors (28302894).

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

21140946 is a wasteful number, since it uses less digits than its factorization.

21140946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21140946 is about 4597.9284465942. The cubic root of 21140946 is about 276.5082788849.

The spelling of 21140946 in words is "twenty-one million, one hundred forty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 93 146 173 186 219 279 346 438 519 558 657 837 1038 1314 1557 1674 1971 2263 3114 3942 4526 4671 5363 6789 9342 10726 12629 13578 16089 20367 25258 32178 37887 40734 48267 61101 75774 96534 113661 122202 144801 227322 289602 340983 391499 681966 782998 1174497 2348994 3523491 7046982 10570473 21140946