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26440960 = 285713227
BaseRepresentation
bin110010011011…
…1010100000000
31211202100011211
41210313110000
523232102320
62342415504
7440513230
oct144672400
954670154
1026440960
1113a1a537
128a31594
13562a050
143723cc0
1524c455a
hex1937500

26440960 has 144 divisors (see below), whose sum is σ = 78293376. Its totient is φ = 8331264.

The previous prime is 26440907. The next prime is 26440963. The reversal of 26440960 is 6904462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26440963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116367 + ... + 116593.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

Almost surely, 226440960 is an apocalyptic number.

26440960 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 26440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688).

26440960 is an abundant number, since it is smaller than the sum of its proper divisors (51852416).

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

26440960 is a wasteful number, since it uses less digits than its factorization.

26440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 26440960 is about 5142.0774012066. The cubic root of 26440960 is about 297.9150246431.

The spelling of 26440960 in words is "twenty-six million, four hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 227 256 260 280 320 364 416 448 454 455 520 560 640 728 832 896 908 910 1040 1120 1135 1280 1456 1589 1664 1792 1816 1820 2080 2240 2270 2912 2951 3178 3328 3632 3640 4160 4480 4540 5824 5902 6356 7264 7280 7945 8320 8960 9080 11648 11804 12712 14528 14560 14755 15890 16640 18160 20657 23296 23608 25424 29056 29120 29510 31780 36320 41314 47216 50848 58112 58240 59020 63560 72640 82628 94432 101696 103285 116480 118040 127120 145280 165256 188864 203392 206570 236080 254240 290560 330512 377728 406784 413140 472160 508480 661024 755456 826280 944320 1016960 1322048 1652560 1888640 2033920 2644096 3305120 3777280 5288192 6610240 13220480 26440960