Search a number
-
+
26706240 = 2633511281
BaseRepresentation
bin110010111100…
…0000101000000
31212020211002000
41211320011000
523314044430
62352224000
7442666521
oct145700500
955224060
1026706240
1114090880
128b3b000
1356c0a12
143792848
152527e60
hex1978140

26706240 has 224 divisors, whose sum is σ = 103144320. Its totient is φ = 6451200.

The previous prime is 26706233. The next prime is 26706259. The reversal of 26706240 is 4260762.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94900 + ... + 95180.

Almost surely, 226706240 is an apocalyptic number.

26706240 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 26706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572160).

26706240 is an abundant number, since it is smaller than the sum of its proper divisors (76438080).

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

26706240 is a wasteful number, since it uses less digits than its factorization.

26706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26706240 is about 5167.8080459707. The cubic root of 26706240 is about 298.9080301620.

It can be divided in two parts, 26 and 706240, that added together give a triangular number (706266 = T1188).

The spelling of 26706240 in words is "twenty-six million, seven hundred six thousand, two hundred forty".