Search a number
-
+
2750192640 = 210325134591
BaseRepresentation
bin1010001111101100…
…1001110000000000
321002122222021001200
42203323021300000
521113022131030
61132522101200
7125103152226
oct24373116000
97078867050
102750192640
111191459488
1264904a800
1334aa0b730
141c137ab16
1511169bd60
hexa3ec9c00

2750192640 has 264 divisors, whose sum is σ = 10264607808. Its totient is φ = 676823040.

The previous prime is 2750192623. The next prime is 2750192657. The reversal of 2750192640 is 462910572.

2750192640 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 1 + 9 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2750192623) and next prime (2750192657).

It is a super-2 number, since 2×27501926402 = 15127119114220339200, which contains 22 as substring.

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 = 2750192595 and 2750192604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596745 + ... + 601335.

Almost surely, 22750192640 is an apocalyptic number.

2750192640 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 2750192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132303904).

2750192640 is an abundant number, since it is smaller than the sum of its proper divisors (7514415168).

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

2750192640 is a wasteful number, since it uses less digits than its factorization.

2750192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2750192640 is about 52442.2791266741. The cubic root of 2750192640 is about 1401.0523787976.

The spelling of 2750192640 in words is "two billion, seven hundred fifty million, one hundred ninety-two thousand, six hundred forty".