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110300420 = 22517536121
BaseRepresentation
bin1101001001100…
…00110100000100
321200112211201202
412210300310010
5211214103140
614540042032
72506352366
oct644606404
9250484652
10110300420
115729737a
1230b33318
1319b0c029
1410912d36
159a3b915
hex6930d04

110300420 has 48 divisors (see below), whose sum is σ = 249924528. Its totient is φ = 40734720.

The previous prime is 110300401. The next prime is 110300429. The reversal of 110300420 is 24003011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 92416 + 110208004 = 304^2 + 10498^2 .

It is not an unprimeable number, because it can be changed into a prime (110300429) 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, 14960 + ... + 21080.

It is an arithmetic number, because the mean of its divisors is an integer number (5206761).

Almost surely, 2110300420 is an apocalyptic number.

110300420 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 110300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124962264).

110300420 is an abundant number, since it is smaller than the sum of its proper divisors (139624108).

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

110300420 is a wasteful number, since it uses less digits than its factorization.

110300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 110300420 is about 10502.4006779403. The cubic root of 110300420 is about 479.5777826535.

Adding to 110300420 its reverse (24003011), we get a palindrome (134303431).

The spelling of 110300420 in words is "one hundred ten million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 6121 9010 12242 18020 24484 30605 61210 104057 122420 208114 324413 416228 520285 648826 1040570 1297652 1622065 2081140 3244130 5515021 6488260 11030042 22060084 27575105 55150210 110300420