Search a number
-
+
1490314956 = 223133129941
BaseRepresentation
bin101100011010100…
…0110011011001100
310211212021211210020
41120311012123030
511023010034311
6403514342140
751634316364
oct13065063314
93755254706
101490314956
116a5275759
1235712a950
131a99b0b90
14101d019a4
158ac84c06
hex58d466cc

1490314956 has 72 divisors (see below), whose sum is σ = 3869983152. Its totient is φ = 443721600.

The previous prime is 1490314937. The next prime is 1490314957. The reversal of 1490314956 is 6594130941.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490314957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144946 + ... + 154886.

It is an arithmetic number, because the mean of its divisors is an integer number (53749766).

Almost surely, 21490314956 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 1490314956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934991576).

1490314956 is an abundant number, since it is smaller than the sum of its proper divisors (2379668196).

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

1490314956 is a wasteful number, since it uses less digits than its factorization.

1490314956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1490314956 is about 38604.5976018401. The cubic root of 1490314956 is about 1142.2452303935.

The spelling of 1490314956 in words is "one billion, four hundred ninety million, three hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 961 1209 1612 1922 2418 2883 3844 4836 5766 9941 11532 12493 19882 24986 29823 37479 39764 49972 59646 74958 119292 129233 149916 258466 308171 387699 516932 616342 775398 924513 1232684 1550796 1849026 3698052 4006223 8012446 9553301 12018669 16024892 19106602 24037338 28659903 38213204 48074676 57319806 114639612 124192913 248385826 372578739 496771652 745157478 1490314956