Search a number
-
+
940767740 = 2251121273061
BaseRepresentation
bin111000000100101…
…111100111111100
32102120012221201122
4320010233213330
53411314031430
6233203530112
732212252043
oct7004574774
92376187648
10940767740
11443047800
12223089938
1311cb9b803
148cd2d55a
15578d0ee5
hex3812f9fc

940767740 has 72 divisors (see below), whose sum is σ = 2189354496. Its totient is φ = 339292800.

The previous prime is 940767721. The next prime is 940767749. The reversal of 940767740 is 47767049.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 940767691 and 940767700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940767749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305810 + ... + 308870.

Almost surely, 2940767740 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 940767740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094677248).

940767740 is an abundant number, since it is smaller than the sum of its proper divisors (1248586756).

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

940767740 is a wasteful number, since it uses less digits than its factorization.

940767740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 940767740 is about 30671.9373369209. The cubic root of 940767740 is about 979.8527267237.

The spelling of 940767740 in words is "nine hundred forty million, seven hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 127 220 242 254 484 508 605 635 1210 1270 1397 2420 2540 2794 3061 5588 6122 6985 12244 13970 15305 15367 27940 30610 30734 33671 61220 61468 67342 76835 134684 153670 168355 307340 336710 370381 388747 673420 740762 777494 1481524 1554988 1851905 1943735 3703810 3887470 4276217 7407620 7774940 8552434 17104868 21381085 42762170 47038387 85524340 94076774 188153548 235191935 470383870 940767740