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244105920 = 26335191487
BaseRepresentation
bin11101000110011…
…00001011000000
3122000022212101000
432203030023000
5444442342140
640120012000
76022603032
oct1643141300
9560285330
10244105920
11115878433
1269901000
133b75a996
14245c3c52
151666ca30
hexe8cc2c0

244105920 has 224 divisors, whose sum is σ = 907084800. Its totient is φ = 61627392.

The previous prime is 244105913. The next prime is 244105949. The reversal of 244105920 is 29501442.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163417 + ... + 164903.

Almost surely, 2244105920 is an apocalyptic number.

244105920 is a gapful number since it is divisible by the number (20) 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 244105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

244105920 is an abundant number, since it is smaller than the sum of its proper divisors (662978880).

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

244105920 is a wasteful number, since it uses less digits than its factorization.

244105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 244105920 is about 15623.8894005302. The cubic root of 244105920 is about 624.9703836633.

It can be divided in two parts, 244105 and 920, that added together give a square (245025 = 4952).

The spelling of 244105920 in words is "two hundred forty-four million, one hundred five thousand, nine hundred twenty".