Search a number
-
+
1020331400 = 235211463787
BaseRepresentation
bin111100110100010…
…000010110001000
32122002221012112212
4330310100112020
54042201101100
6245125124252
734166450054
oct7464202610
92562835485
101020331400
11483a500a0
12245859688
131335083ba
1499720c64
155e89a635
hex3cd10588

1020331400 has 48 divisors (see below), whose sum is σ = 2587937040. Its totient is φ = 371028800.

The previous prime is 1020331393. The next prime is 1020331421. The reversal of 1020331400 is 41330201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229694 + ... + 234093.

It is an arithmetic number, because the mean of its divisors is an integer number (53915355).

Almost surely, 21020331400 is an apocalyptic number.

1020331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020331400 is an abundant number, since it is smaller than the sum of its proper divisors (1567605640).

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

1020331400 is a wasteful number, since it uses less digits than its factorization.

1020331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463814 (or 463805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1020331400 is about 31942.6266922431. The cubic root of 1020331400 is about 1006.7317156529.

Adding to 1020331400 its reverse (41330201), we get a palindrome (1061661601).

The spelling of 1020331400 in words is "one billion, twenty million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 463787 927574 1855148 2318935 3710296 4637870 5101657 9275740 10203314 11594675 18551480 20406628 23189350 25508285 40813256 46378700 51016570 92757400 102033140 127541425 204066280 255082850 510165700 1020331400