Base | Representation |
---|---|
bin | 1100001010011… |
… | …11000100001000 |
3 | 21002222221200202 |
4 | 12011033010020 |
5 | 202110120340 |
6 | 14042551332 |
7 | 2346201143 |
oct | 605170410 |
9 | 232887622 |
10 | 102035720 |
11 | 52661a46 |
12 | 2a208548 |
13 | 181a7287 |
14 | d7a105a |
15 | 8e57c15 |
hex | 614f108 |
102035720 has 32 divisors (see below), whose sum is σ = 230434200. Its totient is φ = 40662528.
The previous prime is 102035711. The next prime is 102035729. The reversal of 102035720 is 27530201.
It is an interprime number because it is at equal distance from previous prime (102035711) and next prime (102035729).
It can be written as a sum of positive squares in 4 ways, for example, as 45995524 + 56040196 = 6782^2 + 7486^2 .
It is a super-2 number, since 2×1020357202 = 20822576311836800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 102035692 and 102035701.
It is not an unprimeable number, because it can be changed into a prime (102035729) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6476 + ... + 15684.
Almost surely, 2102035720 is an apocalyptic number.
102035720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
102035720 is an abundant number, since it is smaller than the sum of its proper divisors (128398480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102035720 is a wasteful number, since it uses less digits than its factorization.
102035720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9497 (or 9493 counting only the distinct ones).
The product of its (nonzero) digits is 420, while the sum is 20.
The square root of 102035720 is about 10101.2731870789. The cubic root of 102035720 is about 467.2874075100.
Adding to 102035720 its reverse (27530201), we get a palindrome (129565921).
The spelling of 102035720 in words is "one hundred two million, thirty-five thousand, seven hundred twenty".
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