Search a number
-
+
1031819320 = 235719193951
BaseRepresentation
bin111101100000000…
…101000000111000
32122220112212000101
4331200011000320
54103121204240
6250215245144
734366214410
oct7540050070
92586485011
101031819320
1148a487144
122496797b4
131359cb29c
149b071640
15608b939a
hex3d805038

1031819320 has 64 divisors (see below), whose sum is σ = 2792908800. Its totient is φ = 335145600.

The previous prime is 1031819309. The next prime is 1031819351. The reversal of 1031819320 is 239181301.

It is a super-2 number, since 2×10318193202 = 2129302218250524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91656 + ... + 102295.

It is an arithmetic number, because the mean of its divisors is an integer number (43639200).

Almost surely, 21031819320 is an apocalyptic number.

1031819320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031819320 is an abundant number, since it is smaller than the sum of its proper divisors (1761089480).

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

1031819320 is a wasteful number, since it uses less digits than its factorization.

1031819320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193988 (or 193984 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1031819320 is about 32121.9445239543. The cubic root of 1031819320 is about 1010.4958908531.

The spelling of 1031819320 in words is "one billion, thirty-one million, eight hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 193951 387902 775804 969755 1357657 1551608 1939510 2715314 3685069 3879020 5430628 6788285 7370138 7758040 10861256 13576570 14740276 18425345 25795483 27153140 29480552 36850690 51590966 54306280 73701380 103181932 128977415 147402760 206363864 257954830 515909660 1031819320