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101044240 = 24511199577
BaseRepresentation
bin1100000010111…
…01000000010000
321001010120122021
412001131000100
5201331403430
614005421224
72334601423
oct601350020
9231116567
10101044240
1152045040
1229a0a814
1317c1abbb
14d5c39ba
158d0e07a
hex605d010

101044240 has 80 divisors (see below), whose sum is σ = 258019200. Its totient is φ = 36495360.

The previous prime is 101044231. The next prime is 101044253. The reversal of 101044240 is 42440101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174832 + ... + 175408.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2101044240 is an apocalyptic number.

101044240 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 101044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129009600).

101044240 is an abundant number, since it is smaller than the sum of its proper divisors (156974960).

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

101044240 is a wasteful number, since it uses less digits than its factorization.

101044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 101044240 is about 10052.0764024156. The cubic root of 101044240 is about 465.7689362678.

Adding to 101044240 its reverse (42440101), we get a palindrome (143484341).

The spelling of 101044240 in words is "one hundred one million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 577 796 880 995 1154 1592 1990 2189 2308 2885 3184 3980 4378 4616 5770 6347 7960 8756 9232 10945 11540 12694 15920 17512 21890 23080 25388 31735 35024 43780 46160 50776 63470 87560 101552 114823 126940 175120 229646 253880 459292 507760 574115 918584 1148230 1263053 1837168 2296460 2526106 4592920 5052212 6315265 9185840 10104424 12630530 20208848 25261060 50522120 101044240