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26661240 = 23325312389
BaseRepresentation
bin110010110110…
…1000101111000
31212011112100100
41211231011320
523311124430
62351235400
7442421364
oct145550570
955145310
1026661240
111405aa91
128b18b60
1356a63a8
1437802a4
152519960
hex196d178

26661240 has 96 divisors (see below), whose sum is σ = 89481600. Its totient is φ = 6877440.

The previous prime is 26661233. The next prime is 26661259. The reversal of 26661240 is 4216662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9966 + ... + 12354.

It is an arithmetic number, because the mean of its divisors is an integer number (932100).

Almost surely, 226661240 is an apocalyptic number.

26661240 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 26661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44740800).

26661240 is an abundant number, since it is smaller than the sum of its proper divisors (62820360).

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

26661240 is a wasteful number, since it uses less digits than its factorization.

26661240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26661240 is about 5163.4523334684. The cubic root of 26661240 is about 298.7400491542.

The spelling of 26661240 in words is "twenty-six million, six hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2389 2790 3720 4778 5580 7167 9556 11160 11945 14334 19112 21501 23890 28668 35835 43002 47780 57336 71670 74059 86004 95560 107505 143340 148118 172008 215010 222177 286680 296236 370295 430020 444354 592472 666531 740590 860040 888708 1110885 1333062 1481180 1777416 2221770 2666124 2962360 3332655 4443540 5332248 6665310 8887080 13330620 26661240