Search a number
-
+
70026768 = 243573183
BaseRepresentation
bin1000010110010…
…00011000010000
311212202201200000
410023020120100
5120411324033
610540530000
71510134450
oct413103020
9155681600
1070026768
113658a169
121b550900
131167aa76
14942bd60
156233a13
hex42c8610

70026768 has 240 divisors, whose sum is σ = 242651136. Its totient is φ = 19128960.

The previous prime is 70026763. The next prime is 70026773. The reversal of 70026768 is 86762007.

It is an interprime number because it is at equal distance from previous prime (70026763) and next prime (70026773).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70026763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843655 + ... + 843737.

Almost surely, 270026768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70026768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568).

70026768 is an abundant number, since it is smaller than the sum of its proper divisors (172624368).

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

70026768 is a wasteful number, since it uses less digits than its factorization.

70026768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 70026768 is about 8368.1998064100. The cubic root of 70026768 is about 412.1810559361.

The spelling of 70026768 in words is "seventy million, twenty-six thousand, seven hundred sixty-eight".