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26968704 = 273779127
BaseRepresentation
bin110011011100…
…0001010000000
31212202011002220
41212320022000
523400444304
62402011040
7445141650
oct146701200
955664086
1026968704
111424aa94
129046a80
135783319
143820360
15257aad9
hex19b8280

26968704 has 128 divisors (see below), whose sum is σ = 83558400. Its totient is φ = 7547904.

The previous prime is 26968703. The next prime is 26968757. The reversal of 26968704 is 40786962.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (26968703) 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, 212289 + ... + 212415.

It is an arithmetic number, because the mean of its divisors is an integer number (652800).

Almost surely, 226968704 is an apocalyptic number.

26968704 is a gapful number since it is divisible by the number (24) 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 26968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41779200).

26968704 is an abundant number, since it is smaller than the sum of its proper divisors (56589696).

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

26968704 is a wasteful number, since it uses less digits than its factorization.

26968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 26968704 is about 5193.1400905425. The cubic root of 26968704 is about 299.8840440754.

It can be divided in two parts, 26968 and 704, that added together give a palindrome (27672).

The spelling of 26968704 in words is "twenty-six million, nine hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 127 128 158 168 192 224 237 254 316 336 381 384 448 474 508 553 632 672 762 889 896 948 1016 1106 1264 1344 1524 1659 1778 1896 2032 2212 2528 2667 2688 3048 3318 3556 3792 4064 4424 5056 5334 6096 6636 7112 7584 8128 8848 10033 10112 10668 12192 13272 14224 15168 16256 17696 20066 21336 24384 26544 28448 30099 30336 35392 40132 42672 48768 53088 56896 60198 70231 70784 80264 85344 106176 113792 120396 140462 160528 170688 210693 212352 240792 280924 321056 341376 421386 481584 561848 642112 842772 963168 1123696 1284224 1685544 1926336 2247392 3371088 3852672 4494784 6742176 8989568 13484352 26968704