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238480 = 24511271
BaseRepresentation
bin111010001110010000
3110010010121
4322032100
530112410
65040024
72012164
oct721620
9403117
10238480
111531a0
12b6014
1384718
1462ca4
154a9da
hex3a390

238480 has 40 divisors (see below), whose sum is σ = 607104. Its totient is φ = 86400.

The previous prime is 238477. The next prime is 238481. The reversal of 238480 is 84832.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (238481) 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, 745 + ... + 1015.

2238480 is an apocalyptic number.

238480 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 238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552).

238480 is an abundant number, since it is smaller than the sum of its proper divisors (368624).

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

238480 is a wasteful number, since it uses less digits than its factorization.

238480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 238480 is about 488.3441409498. The cubic root of 238480 is about 62.0131779134.

The spelling of 238480 in words is "two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 440 542 880 1084 1355 2168 2710 2981 4336 5420 5962 10840 11924 14905 21680 23848 29810 47696 59620 119240 238480