Search a number
-
+
272599740 = 223257231997
BaseRepresentation
bin10000001111111…
…000101010111100
3200222221111112200
4100033320222330
51024241142430
643014431500
76520026300
oct2017705274
9628844480
10272599740
1112a96a246
1277362590
134462622a
14282bdd00
1518dea460
hex103f8abc

272599740 has 216 divisors, whose sum is σ = 993912192. Its totient is φ = 60238080.

The previous prime is 272599687. The next prime is 272599741. The reversal of 272599740 is 47995272.

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 (272599741) 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, 272922 + ... + 273918.

Almost surely, 2272599740 is an apocalyptic number.

272599740 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 272599740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496956096).

272599740 is an abundant number, since it is smaller than the sum of its proper divisors (721312452).

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

272599740 is a wasteful number, since it uses less digits than its factorization.

272599740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 272599740 is about 16510.5947803221. The cubic root of 272599740 is about 648.3982177374.

The spelling of 272599740 in words is "two hundred seventy-two million, five hundred ninety-nine thousand, seven hundred forty".