Search a number
-
+
272968740 = 2232511283151
BaseRepresentation
bin10000010001010…
…010110000100100
3201000122020201100
4100101102300210
51024334444430
643030400100
76523124142
oct2021226044
9630566640
10272968740
111300a1500
1277500030
1344725185
1428378592
1518e6e960
hex10452c24

272968740 has 216 divisors, whose sum is σ = 927186624. Its totient is φ = 64944000.

The previous prime is 272968727. The next prime is 272968747. The reversal of 272968740 is 47869272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272968747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1807665 + ... + 1807815.

Almost surely, 2272968740 is an apocalyptic number.

272968740 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 272968740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463593312).

272968740 is an abundant number, since it is smaller than the sum of its proper divisors (654217884).

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

272968740 is a wasteful number, since it uses less digits than its factorization.

272968740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 272968740 is about 16521.7656441435. The cubic root of 272968740 is about 648.6906502335.

The spelling of 272968740 in words is "two hundred seventy-two million, nine hundred sixty-eight thousand, seven hundred forty".