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272680 = 23517401
BaseRepresentation
bin1000010100100101000
3111212001021
41002210220
532211210
65502224
72213662
oct1024450
9455037
10272680
11176961
12111974
1397165
1471532
1555bda
hex42928

272680 has 32 divisors (see below), whose sum is σ = 651240. Its totient is φ = 102400.

The previous prime is 272659. The next prime is 272683. The reversal of 272680 is 86272.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 196 = 522^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (272683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 880.

2272680 is an apocalyptic number.

272680 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 272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325620).

272680 is an abundant number, since it is smaller than the sum of its proper divisors (378560).

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

272680 is a wasteful number, since it uses less digits than its factorization.

272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 272680 is about 522.1877057151. The cubic root of 272680 is about 64.8461846234.

The spelling of 272680 in words is "two hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 401 680 802 1604 2005 3208 4010 6817 8020 13634 16040 27268 34085 54536 68170 136340 272680