Search a number
-
+
1312142760 = 233351214947
BaseRepresentation
bin100111000110101…
…1011010110101000
310101110000202111000
41032031123112220
510141402032020
6334111435000
744342013045
oct11615332650
93343022430
101312142760
11613741305
12307525a60
1317bac9c46
14c63a21cc
157a2dd090
hex4e35b5a8

1312142760 has 64 divisors (see below), whose sum is σ = 4373812800. Its totient is φ = 349904448.

The previous prime is 1312142759. The next prime is 1312142761. The reversal of 1312142760 is 672412131.

It is an interprime number because it is at equal distance from previous prime (1312142759) and next prime (1312142761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1312142761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606394 + ... + 608553.

It is an arithmetic number, because the mean of its divisors is an integer number (68340825).

Almost surely, 21312142760 is an apocalyptic number.

1312142760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312142760 is an abundant number, since it is smaller than the sum of its proper divisors (3061670040).

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

1312142760 is a wasteful number, since it uses less digits than its factorization.

1312142760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214967 (or 1214957 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1312142760 is about 36223.5111495283. The cubic root of 1312142760 is about 1094.7804401221.

Adding to 1312142760 its reverse (672412131), we get a palindrome (1984554891).

The spelling of 1312142760 in words is "one billion, three hundred twelve million, one hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1214947 2429894 3644841 4859788 6074735 7289682 9719576 10934523 12149470 14579364 18224205 21869046 24298940 29158728 32803569 36448410 43738092 48597880 54672615 65607138 72896820 87476184 109345230 131214276 145793640 164017845 218690460 262428552 328035690 437380920 656071380 1312142760