Search a number
-
+
2390280192 = 211361601
BaseRepresentation
bin1000111001111000…
…1100100000000000
320011120201211000000
42032132030200000
514343402431232
61033104000000
7113143021626
oct21636144000
96146654000
102390280192
111017283983
12568600000
132c12947a1
1418964d516
15deca627c
hex8e78c800

2390280192 has 168 divisors, whose sum is σ = 7170287670. Its totient is φ = 796262400.

The previous prime is 2390280187. The next prime is 2390280239. The reversal of 2390280192 is 2910820932.

2390280192 is a `hidden beast` number, since 2 + 390 + 2 + 80 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1254859776 + 1135420416 = 35424^2 + 33696^2 .

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

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1492192 + ... + 1493792.

Almost surely, 22390280192 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 2390280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585143835).

2390280192 is an abundant number, since it is smaller than the sum of its proper divisors (4780007478).

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

2390280192 is an frugal number, since it uses more digits than its factorization.

2390280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2390280192 is about 48890.4918363479. The cubic root of 2390280192 is about 1337.0560214108.

The spelling of 2390280192 in words is "two billion, three hundred ninety million, two hundred eighty thousand, one hundred ninety-two".