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21842940 = 22357131397
BaseRepresentation
bin101001101010…
…0101111111100
31112002201212210
41103110233330
521042433230
62100100420
7353443020
oct123245774
945081783
1021842940
1111369a19
127394710
1346aa222
142c88380
151db6eb0
hex14d4bfc

21842940 has 96 divisors (see below), whose sum is σ = 70608384. Its totient is φ = 4942080.

The previous prime is 21842929. The next prime is 21842957. The reversal of 21842940 is 4924812.

It is a super-2 number, since 2×218429402 = 954228055687200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21842898 and 21842907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54822 + ... + 55218.

It is an arithmetic number, because the mean of its divisors is an integer number (735504).

Almost surely, 221842940 is an apocalyptic number.

21842940 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 21842940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35304192).

21842940 is an abundant number, since it is smaller than the sum of its proper divisors (48765444).

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

21842940 is a wasteful number, since it uses less digits than its factorization.

21842940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21842940 is about 4673.6431185960. The cubic root of 21842940 is about 279.5355395086.

The spelling of 21842940 in words is "twenty-one million, eight hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 397 420 524 655 786 794 917 1191 1310 1572 1588 1834 1965 1985 2382 2620 2751 2779 3668 3930 3970 4585 4764 5502 5558 5955 7860 7940 8337 9170 11004 11116 11910 13755 13895 16674 18340 23820 27510 27790 33348 41685 52007 55020 55580 83370 104014 156021 166740 208028 260035 312042 364049 520070 624084 728098 780105 1040140 1092147 1456196 1560210 1820245 2184294 3120420 3640490 4368588 5460735 7280980 10921470 21842940