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101024240 = 24510112503
BaseRepresentation
bin1100000010110…
…00000111110000
321001002120012112
412001120013300
5201330233430
614005144452
72334456212
oct601300760
9231076175
10101024240
1152031009
12299bb128
1317c11a75
14d5ba5b2
158d08195
hex60581f0

101024240 has 40 divisors (see below), whose sum is σ = 237225888. Its totient is φ = 40006400.

The previous prime is 101024233. The next prime is 101024263. The reversal of 101024240 is 42420101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829 + ... + 14331.

Almost surely, 2101024240 is an apocalyptic number.

101024240 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 101024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118612944).

101024240 is an abundant number, since it is smaller than the sum of its proper divisors (136201648).

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

101024240 is a wasteful number, since it uses less digits than its factorization.

101024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 101024240 is about 10051.0815338450. The cubic root of 101024240 is about 465.7382038764.

Adding to 101024240 its reverse (42420101), we get a palindrome (143444341).

The spelling of 101024240 in words is "one hundred one million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 12503 25006 50012 62515 100024 125030 200048 250060 500120 1000240 1262803 2525606 5051212 6314015 10102424 12628030 20204848 25256060 50512120 101024240