Base | Representation |
---|---|
bin | 1000001001011010010100 |
3 | 11000111122000 |
4 | 20021122110 |
5 | 1021320300 |
6 | 113435300 |
7 | 24103350 |
oct | 10113224 |
9 | 4014560 |
10 | 2135700 |
11 | 1229646 |
12 | 86bb30 |
13 | 59a138 |
14 | 3d8460 |
15 | 2c2c00 |
hex | 209694 |
2135700 has 144 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 483840.
The previous prime is 2135699. The next prime is 2135701. The reversal of 2135700 is 75312.
It is an interprime number because it is at equal distance from previous prime (2135699) and next prime (2135701).
It is a super-2 number, since 2×21357002 = 9122428980000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2135701) 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, 18844 + ... + 18956.
22135700 is an apocalyptic number.
2135700 is a gapful number since it is divisible by the number (20) 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 2135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).
2135700 is an abundant number, since it is smaller than the sum of its proper divisors (5780460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2135700 is a wasteful number, since it uses less digits than its factorization.
2135700 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 18.
The square root of 2135700 is about 1461.4034350582. The cubic root of 2135700 is about 128.7795043452.
It can be divided in two parts, 21 and 35700, that multiplied together give a triangular number (749700 = T1224).
The spelling of 2135700 in words is "two million, one hundred thirty-five thousand, seven hundred".
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