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239680 = 2657107
BaseRepresentation
bin111010100001000000
3110011210001
4322201000
530132210
65045344
72015530
oct724100
9404701
10239680
11154091
12b6854
138512c
14634c0
154b03a
hex3a840

239680 has 56 divisors (see below), whose sum is σ = 658368. Its totient is φ = 81408.

The previous prime is 239671. The next prime is 239689. The reversal of 239680 is 86932.

It is an interprime number because it is at equal distance from previous prime (239671) and next prime (239689).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×2396803 = 41306333085696000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (239689) by changing a digit.

239680 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 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 2293.

2239680 is an apocalyptic number.

239680 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 239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

239680 is an abundant number, since it is smaller than the sum of its proper divisors (418688).

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

239680 is a wasteful number, since it uses less digits than its factorization.

239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 239680 is about 489.5712409854. The cubic root of 239680 is about 62.1170179900.

It can be divided in two parts, 239 and 680, that added together give a palindrome (919).

The spelling of 239680 in words is "two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 140 160 214 224 280 320 428 448 535 560 749 856 1070 1120 1498 1712 2140 2240 2996 3424 3745 4280 5992 6848 7490 8560 11984 14980 17120 23968 29960 34240 47936 59920 119840 239680