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21194040 = 23357231097
BaseRepresentation
bin101000011011…
…0010100111000
31110212202202110
41100312110320
520411202130
62034132320
7345101130
oct120662470
943782673
1021194040
1110a6643a
1271210a0
134510a6a
142b59ac0
151cd9ab0
hex1436538

21194040 has 128 divisors (see below), whose sum is σ = 75893760. Its totient is φ = 4629504.

The previous prime is 21194029. The next prime is 21194077. The reversal of 21194040 is 4049112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21193998 and 21194016.

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 31 ways as a sum of consecutive naturals, for example, 18772 + ... + 19868.

It is an arithmetic number, because the mean of its divisors is an integer number (592920).

Almost surely, 221194040 is an apocalyptic number.

21194040 is a gapful number since it is divisible by the number (20) 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 21194040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37946880).

21194040 is an abundant number, since it is smaller than the sum of its proper divisors (54699720).

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

21194040 is a wasteful number, since it uses less digits than its factorization.

21194040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21194040 is about 4603.6985131522. The cubic root of 21194040 is about 276.7395624115.

The spelling of 21194040 in words is "twenty-one million, one hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1097 1288 1380 1610 1932 2194 2415 2760 3220 3291 3864 4388 4830 5485 6440 6582 7679 8776 9660 10970 13164 15358 16455 19320 21940 23037 25231 26328 30716 32910 38395 43880 46074 50462 61432 65820 75693 76790 92148 100924 115185 126155 131640 151386 153580 176617 184296 201848 230370 252310 302772 307160 353234 378465 460740 504620 529851 605544 706468 756930 883085 921480 1009240 1059702 1412936 1513860 1766170 2119404 2649255 3027720 3532340 4238808 5298510 7064680 10597020 21194040