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102441040 = 2451327577
BaseRepresentation
bin1100001101100…
…10000001010000
321010202112200121
412012302001100
5202211103130
614055400024
72352506632
oct606620120
9233675617
10102441040
1152909519
122a383014
13182b9900
14d868a52
158ed7d7a
hex61b2050

102441040 has 60 divisors (see below), whose sum is σ = 257939964. Its totient is φ = 37819392.

The previous prime is 102441037. The next prime is 102441041. The reversal of 102441040 is 40144201.

It can be written as a sum of positive squares in 6 ways, for example, as 54110736 + 48330304 = 7356^2 + 6952^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102441041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9732 + ... + 17308.

Almost surely, 2102441040 is an apocalyptic number.

102441040 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 102441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128969982).

102441040 is an abundant number, since it is smaller than the sum of its proper divisors (155498924).

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

102441040 is a wasteful number, since it uses less digits than its factorization.

102441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7597 counting only the distinct ones).

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

The square root of 102441040 is about 10121.3161199520. The cubic root of 102441040 is about 467.9053306453.

Adding to 102441040 its reverse (40144201), we get a palindrome (142585241).

The spelling of 102441040 in words is "one hundred two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 7577 13520 15154 30308 37885 60616 75770 98501 121232 151540 197002 303080 394004 492505 606160 788008 985010 1280513 1576016 1970020 2561026 3940040 5122052 6402565 7880080 10244104 12805130 20488208 25610260 51220520 102441040