Search a number
-
+
940157460 = 22325111723153
BaseRepresentation
bin111000000010011…
…010101000010100
32102112001221120200
4320002122220110
53411140014320
6233142500500
732204130564
oct7002325024
92375057520
10940157460
11442770240
12222a34730
1311ca16ab8
148cc10da4
1557810290
hex3809aa14

940157460 has 432 divisors, whose sum is σ = 3475809792. Its totient is φ = 203673600.

The previous prime is 940157447. The next prime is 940157483. The reversal of 940157460 is 64751049.

940157460 is a `hidden beast` number, since 9 + 40 + 157 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1445 × 477 × 1364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17738794 + ... + 17738846.

It is an arithmetic number, because the mean of its divisors is an integer number (8045856).

Almost surely, 2940157460 is an apocalyptic number.

940157460 is a gapful number since it is divisible by the number (90) 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 940157460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737904896).

940157460 is an abundant number, since it is smaller than the sum of its proper divisors (2535652332).

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

940157460 is a wasteful number, since it uses less digits than its factorization.

940157460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 940157460 is about 30661.9872154432. The cubic root of 940157460 is about 979.6408026932.

It can be divided in two parts, 94015 and 7460, that added together give a triangular number (101475 = T450).

The spelling of 940157460 in words is "nine hundred forty million, one hundred fifty-seven thousand, four hundred sixty".