Search a number
-
+
238405580 = 22573231511
BaseRepresentation
bin11100011010111…
…00011111001100
3121121121020222022
432031130133030
5442012434310
635353505312
75623262000
oct1615343714
9547536868
10238405580
11112634706
1267a12238
133a5131ba
142393c700
1515de3a55
hexe35c7cc

238405580 has 96 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 78133440.

The previous prime is 238405579. The next prime is 238405669. The reversal of 238405580 is 85504832.

It is a super-3 number, since 3×2384055803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 238405580.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157025 + ... + 158535.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2238405580 is an apocalyptic number.

238405580 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 238405580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

238405580 is an abundant number, since it is smaller than the sum of its proper divisors (371232820).

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

238405580 is a wasteful number, since it uses less digits than its factorization.

238405580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 238405580 is about 15440.3879484940. The cubic root of 238405580 is about 620.0672663750.

The spelling of 238405580 in words is "two hundred thirty-eight million, four hundred five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 343 460 490 644 686 805 980 1127 1372 1511 1610 1715 2254 3022 3220 3430 4508 5635 6044 6860 7555 7889 10577 11270 15110 15778 21154 22540 30220 31556 34753 39445 42308 52885 69506 74039 78890 105770 139012 148078 157780 173765 211540 243271 296156 347530 370195 486542 518273 695060 740390 973084 1036546 1216355 1480780 1702897 2073092 2432710 2591365 3405794 4865420 5182730 6811588 8514485 10365460 11920279 17028970 23840558 34057940 47681116 59601395 119202790 238405580