Base | Representation |
---|---|
bin | 1010011101000… |
… | …10010101010000 |
3 | 20010000110021200 |
4 | 11032202111100 |
5 | 134422243340 |
6 | 12411351200 |
7 | 2113260366 |
oct | 516422520 |
9 | 203013250 |
10 | 87696720 |
11 | 45558931 |
12 | 25452500 |
13 | 15226767 |
14 | b90b636 |
15 | 7a74330 |
hex | 53a2550 |
87696720 has 90 divisors (see below), whose sum is σ = 295361118. Its totient is φ = 23318784.
The previous prime is 87696703. The next prime is 87696731. The reversal of 87696720 is 2769678.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 62536464 = 5016^2 + 7908^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 251106 + ... + 251454.
Almost surely, 287696720 is an apocalyptic number.
87696720 is a gapful number since it is divisible by the number (80) 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 87696720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147680559).
87696720 is an abundant number, since it is smaller than the sum of its proper divisors (207664398).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87696720 is a wasteful number, since it uses less digits than its factorization.
87696720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 717 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 45.
The square root of 87696720 is about 9364.6526897691. The cubic root of 87696720 is about 444.2844537099.
Multiplying 87696720 by its sum of digits (45), we get a square (3946352400 = 628202).
87696720 divided by its sum of digits (45) gives a square (1948816 = 13962).
The spelling of 87696720 in words is "eighty-seven million, six hundred ninety-six thousand, seven hundred twenty".
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