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120233080 = 235112631039
BaseRepresentation
bin1110010101010…
…01110001111000
322101020110210001
413022221301320
5221234424310
615533002344
72656651522
oct712516170
9271213701
10120233080
1161960990
12343233b4
131bba9046
1411d7aa12
15a84e93a
hex72a9c78

120233080 has 64 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 43512960.

The previous prime is 120233063. The next prime is 120233089. The reversal of 120233080 is 80332021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120233089) 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, 115201 + ... + 116239.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2120233080 is an apocalyptic number.

120233080 is a gapful number since it is divisible by the number (10) 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 120233080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

120233080 is an abundant number, since it is smaller than the sum of its proper divisors (176291720).

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

120233080 is a wasteful number, since it uses less digits than its factorization.

120233080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 120233080 is about 10965.0845869970. The cubic root of 120233080 is about 493.5615553907.

The spelling of 120233080 in words is "one hundred twenty million, two hundred thirty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1039 1052 1315 2078 2104 2630 2893 4156 5195 5260 5786 8312 10390 10520 11429 11572 14465 20780 22858 23144 28930 41560 45716 57145 57860 91432 114290 115720 228580 273257 457160 546514 1093028 1366285 2186056 2732570 3005827 5465140 6011654 10930280 12023308 15029135 24046616 30058270 60116540 120233080