Base | Representation |
---|---|
bin | 10010101000111… |
… | …10100101110000 |
3 | 101220020001212200 |
4 | 21110132211300 |
5 | 310012104440 |
6 | 23303223200 |
7 | 3606031104 |
oct | 1124364560 |
9 | 356201780 |
10 | 156363120 |
11 | 80298a21 |
12 | 44447b00 |
13 | 26519274 |
14 | 16aa3904 |
15 | dad9c30 |
hex | 951e970 |
156363120 has 120 divisors (see below), whose sum is σ = 531960000. Its totient is φ = 41154048.
The previous prime is 156363061. The next prime is 156363139. The reversal of 156363120 is 21363651.
156363120 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 631 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1563631202 = 48898850592268800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55506 + ... + 58254.
It is an arithmetic number, because the mean of its divisors is an integer number (4433000).
Almost surely, 2156363120 is an apocalyptic number.
156363120 is a gapful number since it is divisible by the number (10) 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 156363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265980000).
156363120 is an abundant number, since it is smaller than the sum of its proper divisors (375596880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
156363120 is a wasteful number, since it uses less digits than its factorization.
156363120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2847 (or 2838 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 156363120 is about 12504.5239813437. The cubic root of 156363120 is about 538.7386196350.
It can be divided in two parts, 1563631 and 20, that added together give a palindrome (1563651).
The spelling of 156363120 in words is "one hundred fifty-six million, three hundred sixty-three thousand, one hundred twenty".
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