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102441504 = 2531128819
BaseRepresentation
bin1100001101100…
…10001000100000
321010202120022210
412012302020200
5202211112004
614055402120
72352511164
oct606621040
9233676283
10102441504
1152909900
122a383340
13182b9b99
14d868ca4
158ed8089
hex61b2220

102441504 has 72 divisors (see below), whose sum is σ = 295611120. Its totient is φ = 31039360.

The previous prime is 102441503. The next prime is 102441511. The reversal of 102441504 is 405144201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102441503) 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, 7207 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (4105710).

Almost surely, 2102441504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147805560).

102441504 is an abundant number, since it is smaller than the sum of its proper divisors (193169616).

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

102441504 is a wasteful number, since it uses less digits than its factorization.

102441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 102441504 is about 10121.3390418462. The cubic root of 102441504 is about 467.9060370932.

Adding to 102441504 its reverse (405144201), we get a palindrome (507585705).

The spelling of 102441504 in words is "one hundred two million, four hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 8819 11616 17638 26457 35276 52914 70552 97009 105828 141104 194018 211656 282208 291027 388036 423312 582054 776072 846624 1067099 1164108 1552144 2134198 2328216 3104288 3201297 4268396 4656432 6402594 8536792 9312864 12805188 17073584 25610376 34147168 51220752 102441504