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108420 = 223513139
BaseRepresentation
bin11010011110000100
312111201120
4122132010
511432140
62153540
7631044
oct323604
9174646
10108420
1174504
12528b0
133a470
142b724
15221d0
hex1a784

108420 has 48 divisors (see below), whose sum is σ = 329280. Its totient is φ = 26496.

The previous prime is 108413. The next prime is 108421. The reversal of 108420 is 24801.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 108420.

It is not an unprimeable number, because it can be changed into a prime (108421) 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, 711 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2108420 is an apocalyptic number.

108420 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 108420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164640).

108420 is an abundant number, since it is smaller than the sum of its proper divisors (220860).

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

108420 is a wasteful number, since it uses less digits than its factorization.

108420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 108420 is about 329.2719240992. The cubic root of 108420 is about 47.6836839713.

It can be divided in two parts, 108 and 420, that added together give a triangular number (528 = T32).

The spelling of 108420 in words is "one hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1390 1668 1807 2085 2780 3614 4170 5421 7228 8340 9035 10842 18070 21684 27105 36140 54210 108420