Base | Representation |
---|---|
bin | 1010011001100… |
… | …10001000000000 |
3 | 20002011002211110 |
4 | 11030302020000 |
5 | 134313041440 |
6 | 12353443320 |
7 | 2106334425 |
oct | 514621000 |
9 | 202132743 |
10 | 87237120 |
11 | 452745a3 |
12 | 25270540 |
13 | 150c54c9 |
14 | b82bd4c |
15 | 79d3080 |
hex | 5332200 |
87237120 has 160 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 22560768.
The previous prime is 87237119. The next prime is 87237121. The reversal of 87237120 is 2173278.
It is an interprime number because it is at equal distance from previous prime (87237119) and next prime (87237121).
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×872371202 = 15220630211788800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) 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 (30).
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (87237121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284007 + ... + 284313.
Almost surely, 287237120 is an apocalyptic number.
87237120 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 87237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).
87237120 is an abundant number, since it is smaller than the sum of its proper divisors (200119488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87237120 is a wasteful number, since it uses less digits than its factorization.
87237120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 370 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 30.
The square root of 87237120 is about 9340.0813700952. The cubic root of 87237120 is about 443.5069602141.
The spelling of 87237120 in words is "eighty-seven million, two hundred thirty-seven thousand, one hundred twenty".
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