Base | Representation |
---|---|
bin | 11100101110100… |
… | …10111110000000 |
3 | 121210110110102200 |
4 | 32113102332000 |
5 | 443143104112 |
6 | 35525113200 |
7 | 5654236005 |
oct | 1627227600 |
9 | 553413380 |
10 | 240988032 |
11 | 11403896a |
12 | 68858800 |
13 | 3ac0878c |
14 | 240118ac |
15 | 16253cdc |
hex | e5d2f80 |
240988032 has 96 divisors (see below), whose sum is σ = 706731480. Its totient is φ = 78793728.
The previous prime is 240988031. The next prime is 240988081. The reversal of 240988032 is 230889042.
240988032 is digitally balanced in base 2, 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 (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (240988031) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59083 + ... + 63029.
Almost surely, 2240988032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353365740).
240988032 is an abundant number, since it is smaller than the sum of its proper divisors (465743448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240988032 is a wasteful number, since it uses less digits than its factorization.
240988032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4020 (or 4005 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 240988032 is about 15523.7892281492. The cubic root of 240988032 is about 622.2981239229.
The spelling of 240988032 in words is "two hundred forty million, nine hundred eighty-eight thousand, thirty-two".
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