Search a number
-
+
1416038920 = 23535400973
BaseRepresentation
bin101010001100111…
…0000101000001000
310122200112020012221
41110121300220020
510400001221140
6352302343424
750043063232
oct12431605010
93580466187
101416038920
11667353aaa
1233628ab74
131974a5c6a
14d60c9252
15844b214a
hex54670a08

1416038920 has 16 divisors (see below), whose sum is σ = 3186087660. Its totient is φ = 566415552.

The previous prime is 1416038917. The next prime is 1416038929. The reversal of 1416038920 is 298306141.

It can be written as a sum of positive squares in 2 ways, for example, as 1286943876 + 129095044 = 35874^2 + 11362^2 .

It is not an unprimeable number, because it can be changed into a prime (1416038929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17700447 + ... + 17700526.

Almost surely, 21416038920 is an apocalyptic number.

1416038920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416038920 is an abundant number, since it is smaller than the sum of its proper divisors (1770048740).

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

1416038920 is a wasteful number, since it uses less digits than its factorization.

1416038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35400984 (or 35400980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1416038920 is about 37630.2925845654. The cubic root of 1416038920 is about 1122.9447697852.

The spelling of 1416038920 in words is "one billion, four hundred sixteen million, thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 35400973 70801946 141603892 177004865 283207784 354009730 708019460 1416038920