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1020213420 = 223563126947
BaseRepresentation
bin111100110011110…
…011100010101100
32122002201012201020
4330303303202230
54042133312140
6245122414140
734165446102
oct7463634254
92562635636
101020213420
1148397a496
12245801350
131334967a5
14996cdc72
155e8756d0
hex3ccf38ac

1020213420 has 48 divisors (see below), whose sum is σ = 2861230848. Its totient is φ = 271615680.

The previous prime is 1020213409. The next prime is 1020213421. The reversal of 1020213420 is 243120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020213420.

It is not an unprimeable number, because it can be changed into a prime (1020213421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24387 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (59608976).

Almost surely, 21020213420 is an apocalyptic number.

1020213420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020213420 is an abundant number, since it is smaller than the sum of its proper divisors (1841017428).

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

1020213420 is a wasteful number, since it uses less digits than its factorization.

1020213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27590 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020213420 is about 31940.7798902907. The cubic root of 1020213420 is about 1006.6929116637.

Adding to 1020213420 its reverse (243120201), we get a palindrome (1263333621).

The spelling of 1020213420 in words is "one billion, twenty million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 631 1262 1893 2524 3155 3786 6310 7572 9465 12620 18930 26947 37860 53894 80841 107788 134735 161682 269470 323364 404205 538940 808410 1616820 17003557 34007114 51010671 68014228 85017785 102021342 170035570 204042684 255053355 340071140 510106710 1020213420