Search a number
-
+
26707968 = 21134723
BaseRepresentation
bin110010111100…
…0100000000000
31212020220110000
41211320200000
523314123333
62352240000
7443004540
oct145704000
955226400
1026707968
1114092101
128b40000
1356c1741
143793320
152528713
hex1978800

26707968 has 240 divisors, whose sum is σ = 95135040. Its totient is φ = 7299072.

The previous prime is 26707937. The next prime is 26707979. The reversal of 26707968 is 86970762.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161205 + ... + 1161227.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 226707968 is an apocalyptic number.

26707968 is a gapful number since it is divisible by the number (28) 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 26707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

26707968 is an abundant number, since it is smaller than the sum of its proper divisors (68427072).

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

26707968 is an equidigital number, since it uses as much as digits as its factorization.

26707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 26707968 is about 5167.9752321388. The cubic root of 26707968 is about 298.9144768693.

The spelling of 26707968 in words is "twenty-six million, seven hundred seven thousand, nine hundred sixty-eight".