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26065920 = 210351697
BaseRepresentation
bin110001101101…
…1110000000000
31211001021201110
41203123300000
523133102140
62330403320
7434361636
oct143336000
954037643
1026065920
1113793791
128890540
13552842a
143667356
15244d380
hex18dbc00

26065920 has 88 divisors (see below), whose sum is σ = 83419344. Its totient is φ = 6946816.

The previous prime is 26065889. The next prime is 26065927. The reversal of 26065920 is 2956062.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26065927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14512 + ... + 16208.

Almost surely, 226065920 is an apocalyptic number.

26065920 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 26065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41709672).

26065920 is an abundant number, since it is smaller than the sum of its proper divisors (57353424).

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

26065920 is a wasteful number, since it uses less digits than its factorization.

26065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 26065920 is about 5105.4794094189. The cubic root of 26065920 is about 296.4997644430.

The spelling of 26065920 in words is "twenty-six million, sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1697 1920 2560 3072 3394 3840 5091 5120 6788 7680 8485 10182 13576 15360 16970 20364 25455 27152 33940 40728 50910 54304 67880 81456 101820 108608 135760 162912 203640 217216 271520 325824 407280 434432 543040 651648 814560 868864 1086080 1303296 1629120 1737728 2172160 2606592 3258240 4344320 5213184 6516480 8688640 13032960 26065920