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21189024 = 2532294359
BaseRepresentation
bin101000011010…
…1000110100000
31110212111212200
41100311012200
520411022044
62034053200
7345050403
oct120650640
943774780
1021189024
1110a6269a
12711a200
13450b6ac
142b57d3a
151cd8369
hex14351a0

21189024 has 144 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 6547968.

The previous prime is 21189019. The next prime is 21189041. The reversal of 21189024 is 42098112.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359107 + ... + 359165.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 221189024 is an apocalyptic number.

21189024 is a gapful number since it is divisible by the number (24) 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 21189024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

21189024 is an abundant number, since it is smaller than the sum of its proper divisors (43675776).

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

21189024 is a wasteful number, since it uses less digits than its factorization.

21189024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21189024 is about 4603.1537015398. The cubic root of 21189024 is about 276.7177286763.

The spelling of 21189024 in words is "twenty-one million, one hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 43 48 58 59 72 86 87 96 116 118 129 144 172 174 177 232 236 258 261 288 344 348 354 387 464 472 516 522 531 688 696 708 774 928 944 1032 1044 1062 1247 1376 1392 1416 1548 1711 1888 2064 2088 2124 2494 2537 2784 2832 3096 3422 3741 4128 4176 4248 4988 5074 5133 5664 6192 6844 7482 7611 8352 8496 9976 10148 10266 11223 12384 13688 14964 15222 15399 16992 19952 20296 20532 22446 22833 27376 29928 30444 30798 39904 40592 41064 44892 45666 54752 59856 60888 61596 73573 81184 82128 89784 91332 119712 121776 123192 147146 164256 179568 182664 220719 243552 246384 294292 359136 365328 441438 492768 588584 662157 730656 882876 1177168 1324314 1765752 2354336 2648628 3531504 5297256 7063008 10594512 21189024