Search a number
-
+
104268528 = 243271373109
BaseRepresentation
bin1100011011100…
…00001011110000
321021012101112100
412031300023300
5203143043103
614202500400
72404160610
oct615601360
9237171470
10104268528
1153947541
122ab04700
13187a9670
14dbc2a40
1592495a3
hex63702f0

104268528 has 240 divisors, whose sum is σ = 367407040. Its totient is φ = 26873856.

The previous prime is 104268511. The next prime is 104268547. The reversal of 104268528 is 825862401.

104268528 is a `hidden beast` number, since 104 + 26 + 8 + 528 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 104268492 and 104268501.

It is a congruent number.

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, 956538 + ... + 956646.

Almost surely, 2104268528 is an apocalyptic number.

104268528 is a gapful number since it is divisible by the number (18) 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 104268528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183703520).

104268528 is an abundant number, since it is smaller than the sum of its proper divisors (263138512).

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

104268528 is a wasteful number, since it uses less digits than its factorization.

104268528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 104268528 is about 10211.1962080845. The cubic root of 104268528 is about 470.6713327717.

The spelling of 104268528 in words is "one hundred four million, two hundred sixty-eight thousand, five hundred twenty-eight".