Search a number
-
+
2420031240 = 23325113891571
BaseRepresentation
bin1001000000111110…
…1011111100001000
320020122201022202200
42100033223330020
514424011444430
61040045400200
7113653632444
oct22017537410
96218638680
102420031240
111032054320
12576569060
132c74b0363
1418d595824
15e26d1460
hex903ebf08

2420031240 has 192 divisors, whose sum is σ = 8607643200. Its totient is φ = 584793600.

The previous prime is 2420031217. The next prime is 2420031259. The reversal of 2420031240 is 421300242.

2420031240 is a `hidden beast` number, since 2 + 420 + 0 + 3 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539655 + ... + 1541225.

It is an arithmetic number, because the mean of its divisors is an integer number (44831475).

Almost surely, 22420031240 is an apocalyptic number.

2420031240 is a gapful number since it is divisible by the number (20) 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 2420031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303821600).

2420031240 is an abundant number, since it is smaller than the sum of its proper divisors (6187611960).

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

2420031240 is a wasteful number, since it uses less digits than its factorization.

2420031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2420031240 is about 49193.8130256235. The cubic root of 2420031240 is about 1342.5804660320.

Adding to 2420031240 its reverse (421300242), we get a palindrome (2841331482).

The spelling of 2420031240 in words is "two billion, four hundred twenty million, thirty-one thousand, two hundred forty".