Search a number
-
+
1420102420 = 2251179101809
BaseRepresentation
bin101010010100101…
…0000101100010100
310122222011200021221
41110221100230110
510402021234140
6352525420124
750122446202
oct12451205424
93588150257
101420102420
11669679a70
1233770a644
131982996b9
14d6866072
1584a1614a
hex54a50b14

1420102420 has 96 divisors (see below), whose sum is σ = 3331238400. Its totient is φ = 504192000.

The previous prime is 1420102417. The next prime is 1420102433. The reversal of 1420102420 is 242010241.

It is a junction number, because it is equal to n+sod(n) for n = 1420102394 and 1420102403.

It is a congruent 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, 1754976 + ... + 1755784.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 21420102420 is an apocalyptic number.

1420102420 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 1420102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665619200).

1420102420 is an abundant number, since it is smaller than the sum of its proper divisors (1911135980).

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

1420102420 is a wasteful number, since it uses less digits than its factorization.

1420102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1420102420 is about 37684.2463106269. The cubic root of 1420102420 is about 1124.0178872379.

Adding to 1420102420 its reverse (242010241), we get a palindrome (1662112661).

The spelling of 1420102420 in words is "one billion, four hundred twenty million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 101 110 158 202 220 316 395 404 505 790 809 869 1010 1111 1580 1618 1738 2020 2222 3236 3476 4045 4345 4444 5555 7979 8090 8690 8899 11110 15958 16180 17380 17798 22220 31916 35596 39895 44495 63911 79790 81709 87769 88990 127822 159580 163418 175538 177980 255644 319555 326836 351076 408545 438845 639110 703021 817090 877690 898799 1278220 1406042 1634180 1755380 1797598 2812084 3515105 3595196 4493995 6455011 7030210 8987990 12910022 14060420 17975980 25820044 32275055 64550110 71005121 129100220 142010242 284020484 355025605 710051210 1420102420