Search a number
-
+
151240768 = 267439769
BaseRepresentation
bin10010000001111…
…00000001000000
3101112120211022221
421000330001000
5302204201033
623001340424
73514345120
oct1100740100
9345524287
10151240768
117840a478
1242797714
13254448a3
141612cc80
15d42712d
hex903c040

151240768 has 56 divisors (see below), whose sum is σ = 344220800. Its totient is φ = 64585728.

The previous prime is 151240753. The next prime is 151240781. The reversal of 151240768 is 867042151.

It is a tau number, because it is divible by the number of its divisors (56).

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, 196288 + ... + 197056.

It is an arithmetic number, because the mean of its divisors is an integer number (6146800).

Almost surely, 2151240768 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 151240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172110400).

151240768 is an abundant number, since it is smaller than the sum of its proper divisors (192980032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151240768 is an equidigital number, since it uses as much as digits as its factorization.

151240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 151240768 is about 12297.9985363473. The cubic root of 151240768 is about 532.7902777882.

The spelling of 151240768 in words is "one hundred fifty-one million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 439 448 769 878 1538 1756 3073 3076 3512 5383 6146 6152 7024 10766 12292 12304 14048 21532 24584 24608 28096 43064 49168 49216 86128 98336 172256 196672 337591 344512 675182 1350364 2363137 2700728 4726274 5401456 9452548 10802912 18905096 21605824 37810192 75620384 151240768