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21975096 = 233111319337
BaseRepresentation
bin101001111010…
…1000000111000
31112100110011110
41103311000320
521111200341
62103000320
7354533223
oct123650070
945313143
1021975096
111144a240
1274390a0
134725420
142cc05ba
151de1216
hex14f5038

21975096 has 128 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 5806080.

The previous prime is 21975091. The next prime is 21975113. The reversal of 21975096 is 69057912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21975091) by changing a digit.

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, 65040 + ... + 65376.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 221975096 is an apocalyptic number.

21975096 is a gapful number since it is divisible by the number (26) 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 21975096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

21975096 is an abundant number, since it is smaller than the sum of its proper divisors (46165704).

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

21975096 is a wasteful number, since it uses less digits than its factorization.

21975096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 21975096 is about 4687.7602327764. The cubic root of 21975096 is about 280.0981628608.

Adding to 21975096 its sum of digits (39), we get a triangular number (21975135 = T6629).

The spelling of 21975096 in words is "twenty-one million, nine hundred seventy-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 209 228 247 264 286 312 337 418 429 456 494 572 627 674 741 836 858 988 1011 1144 1254 1348 1482 1672 1716 1976 2022 2508 2696 2717 2964 3432 3707 4044 4381 5016 5434 5928 6403 7414 8088 8151 8762 10868 11121 12806 13143 14828 16302 17524 19209 21736 22242 25612 26286 29656 32604 35048 38418 44484 48191 51224 52572 65208 70433 76836 83239 88968 96382 105144 140866 144573 153672 166478 192764 211299 249717 281732 289146 332956 385528 422598 499434 563464 578292 665912 845196 915629 998868 1156584 1690392 1831258 1997736 2746887 3662516 5493774 7325032 10987548 21975096