Search a number
-
+
274099806 = 232171137927
BaseRepresentation
bin10000010101100…
…110111001011110
3201002202201020200
4100111212321132
51030132143211
643110524330
76535544541
oct2025467136
9632681220
10274099806
111307a4272
12779666a6
1344a2cc46
1428590858
15190e4b56
hex10566e5e

274099806 has 48 divisors (see below), whose sum is σ = 634461984. Its totient is φ = 85220352.

The previous prime is 274099783. The next prime is 274099807. The reversal of 274099806 is 608990472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274099807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30615 + ... + 38541.

It is an arithmetic number, because the mean of its divisors is an integer number (13217958).

Almost surely, 2274099806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274099806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317230992).

274099806 is an abundant number, since it is smaller than the sum of its proper divisors (360362178).

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

274099806 is a wasteful number, since it uses less digits than its factorization.

274099806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 274099806 is about 16555.9598332443. The cubic root of 274099806 is about 649.5853813408.

The spelling of 274099806 in words is "two hundred seventy-four million, ninety-nine thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 5763 7927 11526 15854 17289 23781 34578 47562 71343 134759 142686 269518 404277 808554 895751 1212831 1791502 2425662 2687253 5374506 8061759 15227767 16123518 30455534 45683301 91366602 137049903 274099806