Base | Representation |
---|---|
bin | 10001101000000… |
… | …00011110000000 |
3 | 101022012121122000 |
4 | 20310000132000 |
5 | 300322214021 |
6 | 22400544000 |
7 | 3443466606 |
oct | 1064003600 |
9 | 338177560 |
10 | 147851136 |
11 | 76504824 |
12 | 41622000 |
13 | 24828aa4 |
14 | 158c9876 |
15 | cea7b26 |
hex | 8d00780 |
147851136 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 48803328.
The previous prime is 147851131. The next prime is 147851147. The reversal of 147851136 is 631158741.
147851136 is a `hidden beast` number, since 1 + 478 + 51 + 136 = 666.
147851136 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 (128).
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 self number, because there is not a number n which added to its sum of digits gives 147851136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (147851131) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618505 + ... + 618743.
It is an arithmetic number, because the mean of its divisors is an integer number (3442500).
Almost surely, 2147851136 is an apocalyptic number.
147851136 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 147851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).
147851136 is an abundant number, since it is smaller than the sum of its proper divisors (292788864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147851136 is a wasteful number, since it uses less digits than its factorization.
147851136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 441 (or 423 counting only the distinct ones).
The product of its digits is 20160, while the sum is 36.
The square root of 147851136 is about 12159.4052486131. The cubic root of 147851136 is about 528.7798393703.
The spelling of 147851136 in words is "one hundred forty-seven million, eight hundred fifty-one thousand, one hundred thirty-six".
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