Base | Representation |
---|---|
bin | 10010000110111… |
… | …01100011100000 |
3 | 101120211102222000 |
4 | 21003131203200 |
5 | 302341334212 |
6 | 23023444000 |
7 | 3523102143 |
oct | 1103354340 |
9 | 346742860 |
10 | 151902432 |
11 | 78821600 |
12 | 42a56600 |
13 | 25616ac6 |
14 | 1626205a |
15 | d5081dc |
hex | 90dd8e0 |
151902432 has 144 divisors (see below), whose sum is σ = 487322640. Its totient is φ = 45999360.
The previous prime is 151902431. The next prime is 151902461. The reversal of 151902432 is 234209151.
151902432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 (27).
It is a junction number, because it is equal to n+sod(n) for n = 151902396 and 151902405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (151902431) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103818 + ... + 105270.
It is an arithmetic number, because the mean of its divisors is an integer number (3384185).
Almost surely, 2151902432 is an apocalyptic number.
151902432 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 151902432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243661320).
151902432 is an abundant number, since it is smaller than the sum of its proper divisors (335420208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151902432 is a wasteful number, since it uses less digits than its factorization.
151902432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1494 (or 1469 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 151902432 is about 12324.8704658507. The cubic root of 151902432 is about 533.5661164383.
The spelling of 151902432 in words is "one hundred fifty-one million, nine hundred two thousand, four hundred thirty-two".
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