Search a number
-
+
239608080 = 24325674967
BaseRepresentation
bin11100100100000…
…10000100010000
3121200212100111100
432102002010100
5442314424310
635435344400
75636430555
oct1622020420
9550770440
10239608080
11113286108
12682b2100
133a84463a
1423b72a2c
151607eec0
hexe482110

239608080 has 120 divisors (see below), whose sum is σ = 816858432. Its totient is φ = 62929152.

The previous prime is 239608079. The next prime is 239608087. The reversal of 239608080 is 80806932.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (239608087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45757 + ... + 50723.

Almost surely, 2239608080 is an apocalyptic number.

239608080 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 239608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408429216).

239608080 is an abundant number, since it is smaller than the sum of its proper divisors (577250352).

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

239608080 is a wasteful number, since it uses less digits than its factorization.

239608080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 239608080 is about 15479.2790529792. The cubic root of 239608080 is about 621.1080428442.

The spelling of 239608080 in words is "two hundred thirty-nine million, six hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 4967 5360 6030 8040 9648 9934 12060 14901 16080 19868 24120 24835 29802 39736 44703 48240 49670 59604 74505 79472 89406 99340 119208 149010 178812 198680 223515 238416 298020 332789 357624 397360 447030 596040 665578 715248 894060 998367 1192080 1331156 1663945 1788120 1996734 2662312 2995101 3327890 3576240 3993468 4991835 5324624 5990202 6655780 7986936 9983670 11980404 13311560 14975505 15973872 19967340 23960808 26623120 29951010 39934680 47921616 59902020 79869360 119804040 239608080