Base | Representation |
---|---|
bin | 10010000101111… |
… | …01011101010000 |
3 | 101120120202121200 |
4 | 21002331131100 |
5 | 302323132320 |
6 | 23020551200 |
7 | 3522013635 |
oct | 1102753520 |
9 | 346522550 |
10 | 151770960 |
11 | 78741850 |
12 | 429b2500 |
13 | 2559c003 |
14 | 1622a18c |
15 | d4ce290 |
hex | 90bd750 |
151770960 has 120 divisors (see below), whose sum is σ = 556062624. Its totient is φ = 36791040.
The previous prime is 151770911. The next prime is 151770961. The reversal of 151770960 is 69077151.
151770960 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 (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (151770961) by changing a digit.
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, 1662 + ... + 17501.
Almost surely, 2151770960 is an apocalyptic number.
151770960 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 151770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278031312).
151770960 is an abundant number, since it is smaller than the sum of its proper divisors (404291664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151770960 is a wasteful number, since it uses less digits than its factorization.
151770960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19193 (or 19184 counting only the distinct ones).
The product of its (nonzero) digits is 13230, while the sum is 36.
The square root of 151770960 is about 12319.5357055370. The cubic root of 151770960 is about 533.4121376610.
The spelling of 151770960 in words is "one hundred fifty-one million, seven hundred seventy thousand, nine hundred sixty".
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