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26994240 = 26325713103
BaseRepresentation
bin110011011111…
…0011001000000
31212210110010200
41212332121000
523402303430
62402325200
7445306260
oct146763100
955713120
1026994240
1114268199
129059800
135791b30
1438297a0
152583460
hex19be640

26994240 has 336 divisors, whose sum is σ = 115385088. Its totient is φ = 5640192.

The previous prime is 26994229. The next prime is 26994299. The reversal of 26994240 is 4249962.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26994195 and 26994204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262029 + ... + 262131.

It is an arithmetic number, because the mean of its divisors is an integer number (343408).

Almost surely, 226994240 is an apocalyptic number.

26994240 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 26994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

26994240 is an abundant number, since it is smaller than the sum of its proper divisors (88390848).

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

26994240 is a wasteful number, since it uses less digits than its factorization.

26994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26994240 is about 5195.5981368847. The cubic root of 26994240 is about 299.9786651494.

The spelling of 26994240 in words is "twenty-six million, nine hundred ninety-four thousand, two hundred forty".