Search a number
-
+
1442052420 = 2235312413217
BaseRepresentation
bin101010111110011…
…1111100101000100
310201111110212000220
41111330333211010
510423131134140
6355032104340
750510146314
oct12574774504
93644425026
101442052420
11680001366
12342b350b0
1319c9b3573
14d973b444
15868eebd0
hex55f3f944

1442052420 has 96 divisors (see below), whose sum is σ = 4186592256. Its totient is φ = 370483200.

The previous prime is 1442052419. The next prime is 1442052431. The reversal of 1442052420 is 242502441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446652 + ... + 449868.

It is an arithmetic number, because the mean of its divisors is an integer number (43610336).

Almost surely, 21442052420 is an apocalyptic number.

1442052420 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 1442052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093296128).

1442052420 is an abundant number, since it is smaller than the sum of its proper divisors (2744539836).

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

1442052420 is a wasteful number, since it uses less digits than its factorization.

1442052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1442052420 is about 37974.3653008184. The cubic root of 1442052420 is about 1129.7794802931.

Adding to 1442052420 its reverse (242502441), we get a palindrome (1684554861).

The spelling of 1442052420 in words is "one billion, four hundred forty-two million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 241 310 372 465 482 620 723 930 964 1205 1446 1860 2410 2892 3217 3615 4820 6434 7230 7471 9651 12868 14460 14942 16085 19302 22413 29884 32170 37355 38604 44826 48255 64340 74710 89652 96510 99727 112065 149420 193020 199454 224130 299181 398908 448260 498635 598362 775297 997270 1196724 1495905 1550594 1994540 2325891 2991810 3101188 3876485 4651782 5983620 7752970 9303564 11629455 15505940 23258910 24034207 46517820 48068414 72102621 96136828 120171035 144205242 240342070 288410484 360513105 480684140 721026210 1442052420