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100444540 = 22575313537
BaseRepresentation
bin1011111110010…
…10100101111100
321000000010000011
411333022211330
5201203211130
613544513004
72326523140
oct577124574
9230003004
10100444540
1151775519
122977b764
1317a6ac51
14d4a9220
158c4152a
hex5fca97c

100444540 has 48 divisors (see below), whose sum is σ = 245633472. Its totient is φ = 33785856.

The previous prime is 100444537. The next prime is 100444541. The reversal of 100444540 is 45444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 14188.

It is an arithmetic number, because the mean of its divisors is an integer number (5117364).

Almost surely, 2100444540 is an apocalyptic number.

100444540 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 100444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122816736).

100444540 is an abundant number, since it is smaller than the sum of its proper divisors (145188932).

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

100444540 is a wasteful number, since it uses less digits than its factorization.

100444540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 100444540 is about 10022.2023527766. The cubic root of 100444540 is about 464.8456573361.

Adding to 100444540 its reverse (45444001), we get a palindrome (145888541).

The spelling of 100444540 in words is "one hundred million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 13537 27074 54148 67685 94759 135370 189518 270740 379036 473795 717461 947590 1434922 1895180 2869844 3587305 5022227 7174610 10044454 14349220 20088908 25111135 50222270 100444540