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102444264 = 23341312161
BaseRepresentation
bin1100001101100…
…10110011101000
321010202201010000
412012302303220
5202211204024
614055423000
72352522216
oct606626350
9233681100
10102444264
115291098a
122a384a60
13182bb210
14d869cb6
158ed8cc9
hex61b2ce8

102444264 has 80 divisors (see below), whose sum is σ = 309036420. Its totient is φ = 31518720.

The previous prime is 102444259. The next prime is 102444271. The reversal of 102444264 is 462444201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91355364 + 11088900 = 9558^2 + 3330^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2344 + ... + 14504.

Almost surely, 2102444264 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 102444264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154518210).

102444264 is an abundant number, since it is smaller than the sum of its proper divisors (206592156).

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

102444264 is a wasteful number, since it uses less digits than its factorization.

102444264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 102444264 is about 10121.4753865234. The cubic root of 102444264 is about 467.9102391955.

Adding to 102444264 its reverse (462444201), we get a palindrome (564888465).

The spelling of 102444264 in words is "one hundred two million, four hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 12161 24322 36483 48644 72966 97288 109449 145932 158093 218898 291864 316186 328347 437796 474279 632372 656694 875592 948558 985041 1264744 1313388 1422837 1897116 1970082 2626776 2845674 3794232 3940164 4268511 5691348 7880328 8537022 11382696 12805533 17074044 25611066 34148088 51222132 102444264