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231672 = 23372197
BaseRepresentation
bin111000100011111000
3102202210110
4320203320
524403142
64544320
71653300
oct704370
9382713
10231672
11149071
12b20a0
13815ac
1460600
154899c
hex388f8

231672 has 48 divisors (see below), whose sum is σ = 677160. Its totient is φ = 65856.

The previous prime is 231661. The next prime is 231677. The reversal of 231672 is 276132.

It is a happy number.

231672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231677) by changing a digit.

231672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 1274.

2231672 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 231672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338580).

231672 is an abundant number, since it is smaller than the sum of its proper divisors (445488).

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

231672 is a wasteful number, since it uses less digits than its factorization.

231672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 231672 is about 481.3231762548. The cubic root of 231672 is about 61.4173653874.

It can be divided in two parts, 231 and 672, that added together give a triangular number (903 = T42).

The spelling of 231672 in words is "two hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 197 294 392 394 588 591 788 1176 1182 1379 1576 2364 2758 4137 4728 5516 8274 9653 11032 16548 19306 28959 33096 38612 57918 77224 115836 231672