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26068440 = 23351091993
BaseRepresentation
bin110001101110…
…0010111011000
31211001102011210
41203130113120
523133142230
62330423120
7434402166
oct143342730
954042153
1026068440
1113795672
128891aa0
135529618
143668236
15244deb0
hex18dc5d8

26068440 has 64 divisors (see below), whose sum is σ = 78962400. Its totient is φ = 6884352.

The previous prime is 26068439. The next prime is 26068457. The reversal of 26068440 is 4486062.

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

It is a junction number, because it is equal to n+sod(n) for n = 26068398 and 26068407.

It is a congruent number.

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, 12084 + ... + 14076.

Almost surely, 226068440 is an apocalyptic number.

26068440 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 26068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481200).

26068440 is an abundant number, since it is smaller than the sum of its proper divisors (52893960).

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

26068440 is a wasteful number, since it uses less digits than its factorization.

26068440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 26068440 is about 5105.7261971242. The cubic root of 26068440 is about 296.5093191326.

The spelling of 26068440 in words is "twenty-six million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 1993 2180 2616 3270 3986 4360 5979 6540 7972 9965 11958 13080 15944 19930 23916 29895 39860 47832 59790 79720 119580 217237 239160 434474 651711 868948 1086185 1303422 1737896 2172370 2606844 3258555 4344740 5213688 6517110 8689480 13034220 26068440