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26856690 = 23571953127
BaseRepresentation
bin110011001110…
…0110011110010
31212112110110020
41212130303302
523333403230
62355344310
7444164250
oct146346362
955473406
1026856690
1114183913
128bb2096
135744343
1437d15d0
152557810
hex199ccf2

26856690 has 128 divisors (see below), whose sum is σ = 79626240. Its totient is φ = 5660928.

The previous prime is 26856689. The next prime is 26856733. The reversal of 26856690 is 9665862.

It is a super-2 number, since 2×268566902 = 1442563595512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211407 + ... + 211533.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 226856690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26856690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813120).

26856690 is an abundant number, since it is smaller than the sum of its proper divisors (52769550).

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

26856690 is a wasteful number, since it uses less digits than its factorization.

26856690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 26856690 is about 5182.3440642242. The cubic root of 26856690 is about 299.4682803598.

The spelling of 26856690 in words is "twenty-six million, eight hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 53 57 70 95 105 106 114 127 133 159 190 210 254 265 266 285 318 371 381 399 530 570 635 665 742 762 795 798 889 1007 1113 1270 1330 1590 1778 1855 1905 1995 2014 2226 2413 2667 3021 3710 3810 3990 4445 4826 5035 5334 5565 6042 6731 7049 7239 8890 10070 11130 12065 13335 13462 14098 14478 15105 16891 20193 21147 24130 26670 30210 33655 33782 35245 36195 40386 42294 47117 50673 67310 70490 72390 84455 94234 100965 101346 105735 127889 141351 168910 201930 211470 235585 253365 255778 282702 383667 471170 506730 639445 706755 767334 895223 1278890 1413510 1790446 1918335 2685669 3836670 4476115 5371338 8952230 13428345 26856690