Base | Representation |
---|---|
bin | 10010010100010… |
… | …01100000000000 |
3 | 101201010111102220 |
4 | 21022021200000 |
5 | 303313432141 |
6 | 23125211040 |
7 | 3544022424 |
oct | 1112114000 |
9 | 351114386 |
10 | 153655296 |
11 | 79809553 |
12 | 43560a80 |
13 | 25aab8c2 |
14 | 1659ab84 |
15 | d752766 |
hex | 9289800 |
153655296 has 96 divisors (see below), whose sum is σ = 415724400. Its totient is φ = 50462720.
The previous prime is 153655283. The next prime is 153655309. The reversal of 153655296 is 692556351.
It is an interprime number because it is at equal distance from previous prime (153655283) and next prime (153655309).
It is a tau number, because it is divible by the number of its divisors (96).
Its product of digits (243000) is a multiple of the sum of its prime divisors (375).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546676 + ... + 546956.
Almost surely, 2153655296 is an apocalyptic number.
153655296 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 153655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207862200).
153655296 is an abundant number, since it is smaller than the sum of its proper divisors (262069104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153655296 is an equidigital number, since it uses as much as digits as its factorization.
153655296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 395 (or 375 counting only the distinct ones).
The product of its digits is 243000, while the sum is 42.
The square root of 153655296 is about 12395.7773455318. Note that the first 3 decimals coincide. The cubic root of 153655296 is about 535.6106179186.
It can be divided in two parts, 1536 and 55296, that multiplied together give a 4-th power (84934656 = 964).
The spelling of 153655296 in words is "one hundred fifty-three million, six hundred fifty-five thousand, two hundred ninety-six".
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