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118921220 = 225112157313
BaseRepresentation
bin1110001011010…
…01100000000100
322021202211020122
413011221200010
5220420434340
615444521112
72642546045
oct705514004
9267684218
10118921220
1161145300
12339b0198
131b839bb2
1411b188cc
15a690db5
hex7169804

118921220 has 72 divisors (see below), whose sum is σ = 277132632. Its totient is φ = 42831360.

The previous prime is 118921213. The next prime is 118921223. The reversal of 118921220 is 22129811.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 116683204 = 1496^2 + 10802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 118921220.

It is not an unprimeable number, because it can be changed into a prime (118921223) 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, 379784 + ... + 380096.

Almost surely, 2118921220 is an apocalyptic number.

118921220 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 118921220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138566316).

118921220 is an abundant number, since it is smaller than the sum of its proper divisors (158211412).

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

118921220 is a wasteful number, since it uses less digits than its factorization.

118921220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 118921220 is about 10905.1006414430. The cubic root of 118921220 is about 491.7599077529.

The spelling of 118921220 in words is "one hundred eighteen million, nine hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 313 314 484 605 626 628 785 1210 1252 1565 1570 1727 2420 3130 3140 3443 3454 6260 6886 6908 8635 13772 17215 17270 18997 34430 34540 37873 37994 49141 68860 75746 75988 94985 98282 151492 189365 189970 196564 245705 378730 379940 491410 540551 757460 982820 1081102 2162204 2702755 5405510 5946061 10811020 11892122 23784244 29730305 59460610 118921220