| Base | Representation |
|---|---|
| bin | 10010010110011… |
| … | …11100111010000 |
| 3 | 101201200002101100 |
| 4 | 21023033213100 |
| 5 | 303402124410 |
| 6 | 23135304400 |
| 7 | 3546326616 |
| oct | 1113174720 |
| 9 | 351602340 |
| 10 | 153942480 |
| 11 | 7999529a |
| 12 | 4367b100 |
| 13 | 25b7c533 |
| 14 | 166336b6 |
| 15 | d7ac8c0 |
| hex | 92cf9d0 |
153942480 has 120 divisors (see below), whose sum is σ = 547444872. Its totient is φ = 38633472.
The previous prime is 153942433. The next prime is 153942487. The reversal of 153942480 is 84249351.
153942480 is a `hidden beast` number, since 1 + 539 + 42 + 4 + 80 = 666.
153942480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 87160896 = 8172^2 + 9336^2 .
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 (153942487) 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, 5952 + ... + 18528.
Almost surely, 2153942480 is an apocalyptic number.
153942480 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 153942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273722436).
153942480 is an abundant number, since it is smaller than the sum of its proper divisors (393502392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153942480 is a wasteful number, since it uses less digits than its factorization.
153942480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12613 (or 12604 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 153942480 is about 12407.3558827012. The cubic root of 153942480 is about 535.9440982763.
The spelling of 153942480 in words is "one hundred fifty-three million, nine hundred forty-two thousand, four hundred eighty".
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