Search a number
-
+
274210272 = 25347217127
BaseRepresentation
bin10000010110000…
…001110111100000
3201002222022210000
4100112001313200
51030144212042
643113140000
76536514600
oct2026016740
9632868700
10274210272
1113086a266
12779ba600
1344a6b2cb
14285bcc00
151911774c
hex10581de0

274210272 has 360 divisors, whose sum is σ = 1001113344. Its totient is φ = 73156608.

The previous prime is 274210271. The next prime is 274210309. The reversal of 274210272 is 272012472.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274210271) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2159073 + ... + 2159199.

Almost surely, 2274210272 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 274210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500556672).

274210272 is an abundant number, since it is smaller than the sum of its proper divisors (726903072).

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

274210272 is a wasteful number, since it uses less digits than its factorization.

274210272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 274210272 is about 16559.2956371942. The cubic root of 274210272 is about 649.6726335747.

The spelling of 274210272 in words is "two hundred seventy-four million, two hundred ten thousand, two hundred seventy-two".