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238828720 = 245131311753
BaseRepresentation
bin11100011110000…
…11110010110000
3121122101202102011
432033003302300
5442120004340
635410532304
75630003434
oct1617036260
9548352364
10238828720
111128a3609
1267b97094
133a630990
1423a0c9c4
1515e790ea
hexe3c3cb0

238828720 has 80 divisors (see below), whose sum is σ = 602898912. Its totient is φ = 87459840.

The previous prime is 238828679. The next prime is 238828729. The reversal of 238828720 is 27828832.

It is a happy number.

238828720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (238828729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135364 + ... + 137116.

Almost surely, 2238828720 is an apocalyptic number.

238828720 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 238828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301449456).

238828720 is an abundant number, since it is smaller than the sum of its proper divisors (364070192).

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

238828720 is a wasteful number, since it uses less digits than its factorization.

238828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 238828720 is about 15454.0842498027. The cubic root of 238828720 is about 620.4338967593.

The spelling of 238828720 in words is "two hundred thirty-eight million, eight hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 520 524 655 1040 1048 1310 1703 1753 2096 2620 3406 3506 5240 6812 7012 8515 8765 10480 13624 14024 17030 17530 22789 27248 28048 34060 35060 45578 68120 70120 91156 113945 136240 140240 182312 227890 229643 364624 455780 459286 911560 918572 1148215 1823120 1837144 2296430 2985359 3674288 4592860 5970718 9185720 11941436 14926795 18371440 23882872 29853590 47765744 59707180 119414360 238828720