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115920 = 24325723
BaseRepresentation
bin11100010011010000
312220000100
4130103100
512202140
62252400
7661650
oct342320
9186010
10115920
117a102
1257100
13409bc
1430360
1524530
hex1c4d0

115920 has 120 divisors (see below), whose sum is σ = 464256. Its totient is φ = 25344.

The previous prime is 115903. The next prime is 115931. The reversal of 115920 is 29511.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 115893 and 115902.

It is a congruent number.

It is an unprimeable number.

115920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 5051.

2115920 is an apocalyptic number.

115920 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 115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128).

115920 is an abundant number, since it is smaller than the sum of its proper divisors (348336).

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

115920 is a wasteful number, since it uses less digits than its factorization.

115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 115920 is about 340.4702630187. The cubic root of 115920 is about 48.7587755405.

It can be divided in two parts, 115 and 920, that added together give a triangular number (1035 = T45).

The spelling of 115920 in words is "one hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 28 30 35 36 40 42 45 46 48 56 60 63 69 70 72 80 84 90 92 105 112 115 120 126 138 140 144 161 168 180 184 207 210 230 240 252 276 280 315 322 336 345 360 368 414 420 460 483 504 552 560 630 644 690 720 805 828 840 920 966 1008 1035 1104 1260 1288 1380 1449 1610 1656 1680 1840 1932 2070 2415 2520 2576 2760 2898 3220 3312 3864 4140 4830 5040 5520 5796 6440 7245 7728 8280 9660 11592 12880 14490 16560 19320 23184 28980 38640 57960 115920