Search a number
-
+
4253683140 = 2233572198461
BaseRepresentation
bin1111110110001010…
…0000110111000100
3101222110001111022000
43331202200313010
532202420330030
61542031105300
7210260465400
oct37542406704
911873044260
104253683140
111893103113
129a8672230
1352a353695
142c4d0c100
1519d685860
hexfd8a0dc4

4253683140 has 288 divisors, whose sum is σ = 16206422400. Its totient is φ = 920989440.

The previous prime is 4253683127. The next prime is 4253683151. The reversal of 4253683140 is 413863524.

4253683140 is a `hidden beast` number, since 4 + 2 + 536 + 83 + 1 + 40 = 666.

4253683140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4253683095 and 4253683104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498510 + ... + 506970.

It is an arithmetic number, because the mean of its divisors is an integer number (56272300).

Almost surely, 24253683140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253683140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103211200).

4253683140 is an abundant number, since it is smaller than the sum of its proper divisors (11952739260).

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

4253683140 is a wasteful number, since it uses less digits than its factorization.

4253683140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4253683140 is about 65220.2663288030. The cubic root of 4253683140 is about 1620.2736848993.

The spelling of 4253683140 in words is "four billion, two hundred fifty-three million, six hundred eighty-three thousand, one hundred forty".