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103143040 = 27572111323
BaseRepresentation
bin1100010010111…
…01011010000000
321012002012122121
412021131122000
5202401034130
614122414024
72361462400
oct611353200
9235065577
10103143040
1153248990
122a661314
13184a42b0
14d9ac800
1590c5d7a
hex625d680

103143040 has 384 divisors, whose sum is σ = 351630720. Its totient is φ = 28385280.

The previous prime is 103143011. The next prime is 103143113. The reversal of 103143040 is 40341301.

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

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 47 ways as a sum of consecutive naturals, for example, 4484469 + ... + 4484491.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2103143040 is an apocalyptic number.

103143040 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 103143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

103143040 is an abundant number, since it is smaller than the sum of its proper divisors (248487680).

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

103143040 is a wasteful number, since it uses less digits than its factorization.

103143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103143040 is about 10155.9361951521. The cubic root of 103143040 is about 468.9717069143.

Adding to 103143040 its reverse (40341301), we get a palindrome (143484341).

The spelling of 103143040 in words is "one hundred three million, one hundred forty-three thousand, forty".