Search a number
-
+
1023111420 = 223537716491
BaseRepresentation
bin111100111110110…
…111000011111100
32122022011110000120
4330332313003330
54043404031140
6245304454540
734232206062
oct7476670374
92568143016
101023111420
11485579831
1224677a450
13133c6c896
1499c46032
155ec491d0
hex3cfb70fc

1023111420 has 96 divisors (see below), whose sum is σ = 2984034816. Its totient is φ = 261676800.

The previous prime is 1023111413. The next prime is 1023111421. The reversal of 1023111420 is 241113201.

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 1023111420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023111421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154375 + ... + 160865.

It is an arithmetic number, because the mean of its divisors is an integer number (31083696).

Almost surely, 21023111420 is an apocalyptic number.

1023111420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492017408).

1023111420 is an abundant number, since it is smaller than the sum of its proper divisors (1960923396).

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

1023111420 is a wasteful number, since it uses less digits than its factorization.

1023111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1023111420 is about 31986.1129242051. The cubic root of 1023111420 is about 1007.6452085015.

Adding to 1023111420 its reverse (241113201), we get a palindrome (1264224621).

The spelling of 1023111420 in words is "one billion, twenty-three million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 71 74 111 142 148 185 213 222 284 355 370 426 444 555 710 740 852 1065 1110 1420 2130 2220 2627 4260 5254 6491 7881 10508 12982 13135 15762 19473 25964 26270 31524 32455 38946 39405 52540 64910 77892 78810 97365 129820 157620 194730 240167 389460 460861 480334 720501 921722 960668 1200835 1382583 1441002 1843444 2304305 2401670 2765166 2882004 3602505 4608610 4803340 5530332 6912915 7205010 9217220 13825830 14410020 17051857 27651660 34103714 51155571 68207428 85259285 102311142 170518570 204622284 255777855 341037140 511555710 1023111420