Base | Representation |
---|---|
bin | 100110101111… |
… | …100000000000 |
3 | 201002222110100 |
4 | 212233200000 |
5 | 10044443112 |
6 | 1001402400 |
7 | 152216265 |
oct | 46574000 |
9 | 21088410 |
10 | 10156032 |
11 | 5807417 |
12 | 3499400 |
13 | 21478b3 |
14 | 14c526c |
15 | d592dc |
hex | 9af800 |
10156032 has 144 divisors (see below), whose sum is σ = 31941000. Its totient is φ = 3096576.
The previous prime is 10156007. The next prime is 10156033. The reversal of 10156032 is 23065101.
10156032 is a `hidden beast` number, since 101 + 560 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10155996 and 10156014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10156033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350194 + ... + 350222.
Almost surely, 210156032 is an apocalyptic number.
10156032 is a gapful number since it is divisible by the number (12) 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 10156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970500).
10156032 is an abundant number, since it is smaller than the sum of its proper divisors (21784968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10156032 is a wasteful number, since it uses less digits than its factorization.
10156032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76 (or 53 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 10156032 is about 3186.8529931580. The cubic root of 10156032 is about 216.5582268667.
The spelling of 10156032 in words is "ten million, one hundred fifty-six thousand, thirty-two".
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