Search a number
-
+
1023788290 = 25743340129
BaseRepresentation
bin111101000001011…
…100010100000010
32122100102211111211
4331001130110002
54044042211130
6245331200334
734241025340
oct7501342402
92570384454
101023788290
114859a1328
12246a460aa
131341489b5
1499d80990
155ed2ea2a
hex3d05c502

1023788290 has 32 divisors (see below), whose sum is σ = 2155063680. Its totient is φ = 342849024.

The previous prime is 1023788279. The next prime is 1023788291. The reversal of 1023788290 is 928873201.

It is a super-2 number, since 2×10237882902 = 2096284925482248200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1023788291) 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, 167055 + ... + 173074.

It is an arithmetic number, because the mean of its divisors is an integer number (67345740).

Almost surely, 21023788290 is an apocalyptic number.

1023788290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023788290 is an abundant number, since it is smaller than the sum of its proper divisors (1131275390).

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

1023788290 is a wasteful number, since it uses less digits than its factorization.

1023788290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340186.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1023788290 is about 31996.6918602533. The cubic root of 1023788290 is about 1007.8673721372.

The spelling of 1023788290 in words is "one billion, twenty-three million, seven hundred eighty-eight thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 301 430 602 1505 3010 340129 680258 1700645 2380903 3401290 4761806 11904515 14625547 23809030 29251094 73127735 102378829 146255470 204757658 511894145 1023788290