Search a number
-
+
1013840740 = 2251131612437
BaseRepresentation
bin111100011011011…
…111101101100100
32121122201110001001
4330123133231210
54034020400430
6244334043044
734060334623
oct7433375544
92548643031
101013840740
11480317610
12243649484
13132074c83
14989116ba
155e0173ca
hex3c6dfb64

1013840740 has 96 divisors (see below), whose sum is σ = 2437843968. Its totient is φ = 350784000.

The previous prime is 1013840731. The next prime is 1013840749. The reversal of 1013840740 is 470483101.

It is an interprime number because it is at equal distance from previous prime (1013840731) and next prime (1013840749).

It is a junction number, because it is equal to n+sod(n) for n = 1013840699 and 1013840708.

It is not an unprimeable number, because it can be changed into a prime (1013840749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414802 + ... + 417238.

It is an arithmetic number, because the mean of its divisors is an integer number (25394208).

Almost surely, 21013840740 is an apocalyptic number.

1013840740 is a gapful number since it is divisible by the number (10) 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 1013840740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218921984).

1013840740 is an abundant number, since it is smaller than the sum of its proper divisors (1424003228).

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

1013840740 is a wasteful number, since it uses less digits than its factorization.

1013840740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1013840740 is about 31840.8658801861. The cubic root of 1013840740 is about 1004.5924570522.

It can be divided in two parts, 1013 and 840740, that added together give a triangular number (841753 = T1297).

The spelling of 1013840740 in words is "one billion, thirteen million, eight hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 61 62 110 122 124 155 220 244 305 310 341 610 620 671 682 1220 1342 1364 1705 1891 2437 2684 3355 3410 3782 4874 6710 6820 7564 9455 9748 12185 13420 18910 20801 24370 26807 37820 41602 48740 53614 75547 83204 104005 107228 134035 148657 151094 208010 268070 297314 302188 377735 416020 536140 594628 743285 755470 831017 1486570 1510940 1635227 1662034 2973140 3270454 3324068 4155085 4608367 6540908 8176135 8310170 9216734 16352270 16620340 18433468 23041835 32704540 46083670 50692037 92167340 101384074 202768148 253460185 506920370 1013840740