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21142992 = 24313311093
BaseRepresentation
bin101000010100…
…1110111010000
31110210011201210
41100221313100
520403033432
62033100120
7344466243
oct120516720
943704653
1021142992
1110a31052
1270b7640
1344c3760
142b4525a
151cc98cc
hex1429dd0

21142992 has 80 divisors (see below), whose sum is σ = 60773888. Its totient is φ = 6289920.

The previous prime is 21142981. The next prime is 21143009. The reversal of 21142992 is 29924112.

It is a happy number.

It is a super-2 number, since 2×211429922 = 894052221424128, which contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 18798 + ... + 19890.

Almost surely, 221142992 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 21142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386944).

21142992 is an abundant number, since it is smaller than the sum of its proper divisors (39630896).

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

21142992 is a wasteful number, since it uses less digits than its factorization.

21142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 21142992 is about 4598.1509327120. The cubic root of 21142992 is about 276.5171986638.

The spelling of 21142992 in words is "twenty-one million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1093 1209 1488 1612 2186 2418 3224 3279 4372 4836 6448 6558 8744 9672 13116 14209 17488 19344 26232 28418 33883 42627 52464 56836 67766 85254 101649 113672 135532 170508 203298 227344 271064 341016 406596 440479 542128 682032 813192 880958 1321437 1626384 1761916 2642874 3523832 5285748 7047664 10571496 21142992