Base | Representation |
---|---|
bin | 10001011000010… |
… | …10111101110000 |
3 | 101011100020212000 |
4 | 20230022331300 |
5 | 244311000401 |
6 | 22244534000 |
7 | 3420153033 |
oct | 1054127560 |
9 | 334306760 |
10 | 145796976 |
11 | 75331476 |
12 | 409b1300 |
13 | 24289b00 |
14 | 1551301a |
15 | cbee186 |
hex | 8b0af70 |
145796976 has 120 divisors (see below), whose sum is σ = 453386160. Its totient is φ = 44838144.
The previous prime is 145796971. The next prime is 145797031. The reversal of 145796976 is 679697541.
145796976 is a `hidden beast` number, since 1 + 4 + 579 + 69 + 7 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145796971) 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, 72010 + ... + 74006.
It is an arithmetic number, because the mean of its divisors is an integer number (3778218).
Almost surely, 2145796976 is an apocalyptic number.
145796976 is a gapful number since it is divisible by the number (16) 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 145796976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226693080).
145796976 is an abundant number, since it is smaller than the sum of its proper divisors (307589184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145796976 is a wasteful number, since it uses less digits than its factorization.
145796976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2040 (or 2015 counting only the distinct ones).
The product of its digits is 2857680, while the sum is 54.
The square root of 145796976 is about 12074.6418580428. The cubic root of 145796976 is about 526.3195540755.
The spelling of 145796976 in words is "one hundred forty-five million, seven hundred ninety-six thousand, nine hundred seventy-six".
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