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101443040 = 2552572467
BaseRepresentation
bin1100000101111…
…10010111100000
321001212211200122
412002332113200
5201432134130
614022135412
72341152206
oct602762740
9231784618
10101443040
1152297726
1229b81568
131802a58a
14d689076
158d8c2e5
hex60be5e0

101443040 has 48 divisors (see below), whose sum is σ = 240689232. Its totient is φ = 40402944.

The previous prime is 101443039. The next prime is 101443051. The reversal of 101443040 is 40344101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39887 + ... + 42353.

It is an arithmetic number, because the mean of its divisors is an integer number (5014359).

Almost surely, 2101443040 is an apocalyptic number.

101443040 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 101443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120344616).

101443040 is an abundant number, since it is smaller than the sum of its proper divisors (139246192).

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

101443040 is a wasteful number, since it uses less digits than its factorization.

101443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 101443040 is about 10071.8935657601. The cubic root of 101443040 is about 466.3808953335.

Adding to 101443040 its reverse (40344101), we get a palindrome (141787141).

The spelling of 101443040 in words is "one hundred one million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 1028 1285 2056 2467 2570 4112 4934 5140 8224 9868 10280 12335 19736 20560 24670 39472 41120 49340 78944 98680 197360 394720 634019 1268038 2536076 3170095 5072152 6340190 10144304 12680380 20288608 25360760 50721520 101443040