Base | Representation |
---|---|
bin | 1100101000111… |
… | …11101011111000 |
3 | 21101112011222210 |
4 | 12110133223320 |
5 | 204121122320 |
6 | 14304415120 |
7 | 2425201512 |
oct | 624375370 |
9 | 241464883 |
10 | 106035960 |
11 | 54944428 |
12 | 2b6174a0 |
13 | 18c77c94 |
14 | 10122bb2 |
15 | 94980e0 |
hex | 651faf8 |
106035960 has 64 divisors (see below), whose sum is σ = 334857600. Its totient is φ = 26787456.
The previous prime is 106035907. The next prime is 106035967. The reversal of 106035960 is 69530601.
It is a happy number.
It is a super-2 number, since 2×1060359602 = 22487249626243200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106035967) 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, 20974 + ... + 25533.
It is an arithmetic number, because the mean of its divisors is an integer number (5232150).
Almost surely, 2106035960 is an apocalyptic number.
106035960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106035960 is an abundant number, since it is smaller than the sum of its proper divisors (228821640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106035960 is a wasteful number, since it uses less digits than its factorization.
106035960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 46540 (or 46536 counting only the distinct ones).
The product of its (nonzero) digits is 4860, while the sum is 30.
The square root of 106035960 is about 10297.3763648805. The cubic root of 106035960 is about 473.3158604055.
The spelling of 106035960 in words is "one hundred six million, thirty-five thousand, nine hundred sixty".
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