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26424840 = 23351321303
BaseRepresentation
bin110010011001…
…1011000001000
31211201112001210
41210303120020
523231043330
62342213120
7440415231
oct144633010
954645053
1026424840
1113a09412
128a241a0
135622900
14371c088
1524be8b0
hex1933608

26424840 has 96 divisors (see below), whose sum is σ = 85907520. Its totient is φ = 6499584.

The previous prime is 26424821. The next prime is 26424841. The reversal of 26424840 is 4842462.

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 = 26424798 and 26424807.

It is not an unprimeable number, because it can be changed into a prime (26424841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19629 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (894870).

Almost surely, 226424840 is an apocalyptic number.

26424840 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 26424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42953760).

26424840 is an abundant number, since it is smaller than the sum of its proper divisors (59482680).

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

26424840 is a wasteful number, since it uses less digits than its factorization.

26424840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 26424840 is about 5140.5097023544. The cubic root of 26424840 is about 297.8544700279.

The spelling of 26424840 in words is "twenty-six million, four hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1303 1352 1560 1690 2028 2535 2606 3380 3909 4056 5070 5212 6515 6760 7818 10140 10424 13030 15636 16939 19545 20280 26060 31272 33878 39090 50817 52120 67756 78180 84695 101634 135512 156360 169390 203268 220207 254085 338780 406536 440414 508170 660621 677560 880828 1016340 1101035 1321242 1761656 2032680 2202070 2642484 3303105 4404140 5284968 6606210 8808280 13212420 26424840