Search a number
-
+
108140220 = 223253671637
BaseRepresentation
bin1100111001000…
…01011010111100
321112111002111100
412130201122330
5210140441340
614421453100
72452114416
oct634413274
9245432440
10108140220
1156051391
1230271190
13195339c6
141050d9b6
159761830
hex67216bc

108140220 has 72 divisors (see below), whose sum is σ = 329120064. Its totient is φ = 28741248.

The previous prime is 108140161. The next prime is 108140257. The reversal of 108140220 is 22041801.

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 = 108140193 and 108140202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65242 + ... + 66878.

It is an arithmetic number, because the mean of its divisors is an integer number (4571112).

Almost surely, 2108140220 is an apocalyptic number.

108140220 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 108140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560032).

108140220 is an abundant number, since it is smaller than the sum of its proper divisors (220979844).

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

108140220 is a wasteful number, since it uses less digits than its factorization.

108140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 108140220 is about 10399.0489949803. The cubic root of 108140220 is about 476.4263240302.

The spelling of 108140220 in words is "one hundred eight million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1637 1835 2202 3274 3303 3670 4404 4911 5505 6548 6606 7340 8185 9822 11010 13212 14733 16370 16515 19644 22020 24555 29466 32740 33030 49110 58932 66060 73665 98220 147330 294660 600779 1201558 1802337 2403116 3003895 3604674 5407011 6007790 7209348 9011685 10814022 12015580 18023370 21628044 27035055 36046740 54070110 108140220