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26496140 = 22511294153
BaseRepresentation
bin110010100010…
…0110010001100
31211212010212112
41211010302030
523240334030
62343523152
7441133136
oct145046214
954763775
1026496140
1113a57a40
128a594b8
1356491b8
14373a056
1524d5a95
hex1944c8c

26496140 has 48 divisors (see below), whose sum is σ = 62808480. Its totient is φ = 9300480.

The previous prime is 26496097. The next prime is 26496163. The reversal of 26496140 is 4169462.

26496140 = 1762 + 1772 + ... + 4392.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26496097 and 26496106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4304 + ... + 8456.

It is an arithmetic number, because the mean of its divisors is an integer number (1308510).

Almost surely, 226496140 is an apocalyptic number.

26496140 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 26496140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31404240).

26496140 is an abundant number, since it is smaller than the sum of its proper divisors (36312340).

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

26496140 is a wasteful number, since it uses less digits than its factorization.

26496140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 26496140 is about 5147.4401404970. The cubic root of 26496140 is about 298.1221216212.

The spelling of 26496140 in words is "twenty-six million, four hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 4153 6380 8306 16612 20765 41530 45683 83060 91366 120437 182732 228415 240874 456830 481748 602185 913660 1204370 1324807 2408740 2649614 5299228 6624035 13248070 26496140