Search a number
-
+
1390041810 = 23452935857
BaseRepresentation
bin101001011011010…
…0101101011010010
310120212121102220000
41102312211223102
510321322314220
6345533230430
746306106013
oct12266455322
93525542800
101390041810
11653707a93
12329632416
13191ca2c61
14d287d00a
1582079390
hex52da5ad2

1390041810 has 80 divisors (see below), whose sum is σ = 3751064856. Its totient is φ = 369349632.

The previous prime is 1390041799. The next prime is 1390041817. The reversal of 1390041810 is 181400931.

It can be written as a sum of positive squares in 4 ways, for example, as 1379602449 + 10439361 = 37143^2 + 3231^2 .

It is a super-2 number, since 2×13900418102 = 3864432467096152200, which contains 22 as substring.

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 (1390041817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234402 + ... + 240258.

Almost surely, 21390041810 is an apocalyptic number.

1390041810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390041810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875532428).

1390041810 is an abundant number, since it is smaller than the sum of its proper divisors (2361023046).

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

1390041810 is a wasteful number, since it uses less digits than its factorization.

1390041810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1390041810 is about 37283.2644761695. The cubic root of 1390041810 is about 1116.0302194384.

The spelling of 1390041810 in words is "one billion, three hundred ninety million, forty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 586 810 879 1465 1758 2637 2930 4395 5274 5857 7911 8790 11714 13185 15822 17571 23733 26370 29285 35142 39555 47466 52713 58570 79110 87855 105426 118665 158139 175710 237330 263565 316278 474417 527130 790695 948834 1581390 1716101 2372085 3432202 4744170 5148303 8580505 10296606 15444909 17161010 25741515 30889818 46334727 51483030 77224545 92669454 139004181 154449090 231673635 278008362 463347270 695020905 1390041810