Search a number
-
+
1410220020 = 2235116731891
BaseRepresentation
bin101010000001110…
…0011111111110100
310122021120121012010
41110003203333310
510342004020040
6351533524220
746642446426
oct12403437764
93567517163
101410220020
1166403a1a0
12334343670
13196219521
14d5412816
1583c12e80
hex540e3ff4

1410220020 has 96 divisors (see below), whose sum is σ = 4372010496. Its totient is φ = 336758400.

The previous prime is 1410220013. The next prime is 1410220027. The reversal of 1410220020 is 200220141.

It is an interprime number because it is at equal distance from previous prime (1410220013) and next prime (1410220027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1410219978 and 1410220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410220027) 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 31 ways as a sum of consecutive naturals, for example, 28275 + ... + 60165.

It is an arithmetic number, because the mean of its divisors is an integer number (45541776).

Almost surely, 21410220020 is an apocalyptic number.

1410220020 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 1410220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186005248).

1410220020 is an abundant number, since it is smaller than the sum of its proper divisors (2961790476).

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

1410220020 is a wasteful number, since it uses less digits than its factorization.

1410220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31981 (or 31979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1410220020 is about 37552.8962930957. The cubic root of 1410220020 is about 1121.4044933271.

Adding to 1410220020 its reverse (200220141), we get a palindrome (1610440161).

The spelling of 1410220020 in words is "one billion, four hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 14740 22110 31891 44220 63782 95673 127564 159455 191346 318910 350801 382692 478365 637820 701602 956730 1052403 1403204 1754005 1913460 2104806 2136697 3508010 4209612 4273394 5262015 6410091 7016020 8546788 10524030 10683485 12820182 21048060 21366970 23503667 25640364 32050455 42733940 47007334 64100910 70511001 94014668 117518335 128201820 141022002 235036670 282044004 352555005 470073340 705110010 1410220020