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26340072 = 23311175869
BaseRepresentation
bin110010001111…
…0101011101000
31211120012210020
41210132223220
523220340242
62340320440
7436613133
oct144365350
954505706
1026340072
1113960760
1289a3120
1355c3155
1436d921a
1524a46ec
hex191eae8

26340072 has 64 divisors (see below), whose sum is σ = 76075200. Its totient is φ = 7511040.

The previous prime is 26340043. The next prime is 26340107. The reversal of 26340072 is 27004362.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1554 + ... + 7422.

It is an arithmetic number, because the mean of its divisors is an integer number (1188675).

Almost surely, 226340072 is an apocalyptic number.

26340072 is a gapful number since it is divisible by the number (22) 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 26340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38037600).

26340072 is an abundant number, since it is smaller than the sum of its proper divisors (49735128).

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

26340072 is a wasteful number, since it uses less digits than its factorization.

26340072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 26340072 is about 5132.2579826038. The cubic root of 26340072 is about 297.5356339870.

The spelling of 26340072 in words is "twenty-six million, three hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 5869 11738 17607 23476 35214 46952 64559 70428 99773 129118 140856 193677 199546 258236 299319 387354 399092 516472 598638 774708 798184 1097503 1197276 1549416 2195006 2394552 3292509 4390012 6585018 8780024 13170036 26340072