Search a number
-
+
274263040 = 21051723137
BaseRepresentation
bin10000010110001…
…110110000000000
3201010002000011101
4100112032300000
51030202404130
643114224144
76540124462
oct2026166000
9633060141
10274263040
111308a5977
1277a25054
1344a8932c
14285d4132
15191281ca
hex1058ec00

274263040 has 176 divisors, whose sum is σ = 732203712. Its totient is φ = 98041856.

The previous prime is 274263037. The next prime is 274263049. The reversal of 274263040 is 40362472.

It is a super-2 number, since 2×2742630402 = 150440430220083200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (274263049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001852 + ... + 2001988.

Almost surely, 2274263040 is an apocalyptic number.

274263040 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 274263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366101856).

274263040 is an abundant number, since it is smaller than the sum of its proper divisors (457940672).

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

274263040 is a wasteful number, since it uses less digits than its factorization.

274263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 274263040 is about 16560.8888650338. Note that the first 4 decimals coincide. The cubic root of 274263040 is about 649.7143044264.

The spelling of 274263040 in words is "two hundred seventy-four million, two hundred sixty-three thousand, forty".