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102402144 = 2535131013
BaseRepresentation
bin1100001101010…
…00100001100000
321010200120100000
412012220201200
5202203332034
614054500000
72352255345
oct606504140
9233616300
10102402144
1152892279
122a364600
13182a4cb0
14d8587cc
158ecb599
hex61a8860

102402144 has 144 divisors (see below), whose sum is σ = 325542672. Its totient is φ = 31477248.

The previous prime is 102402127. The next prime is 102402193. The reversal of 102402144 is 441204201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100582 + ... + 101594.

It is an arithmetic number, because the mean of its divisors is an integer number (2260713).

Almost surely, 2102402144 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 102402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162771336).

102402144 is an abundant number, since it is smaller than the sum of its proper divisors (223140528).

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

102402144 is a wasteful number, since it uses less digits than its factorization.

102402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102402144 is about 10119.3944482859. The cubic root of 102402144 is about 467.8461032444.

Adding to 102402144 its reverse (441204201), we get a palindrome (543606345).

The spelling of 102402144 in words is "one hundred two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1013 1053 1248 1296 1404 1872 1944 2026 2106 2592 2808 3039 3159 3744 3888 4052 4212 5616 6078 6318 7776 8104 8424 9117 11232 12156 12636 13169 16208 16848 18234 24312 25272 26338 27351 32416 33696 36468 39507 48624 50544 52676 54702 72936 79014 82053 97248 101088 105352 109404 118521 145872 158028 164106 210704 218808 237042 246159 291744 316056 328212 355563 421408 437616 474084 492318 632112 656424 711126 875232 948168 984636 1066689 1264224 1312848 1422252 1896336 1969272 2133378 2625696 2844504 3200067 3792672 3938544 4266756 5689008 6400134 7877088 8533512 11378016 12800268 17067024 25600536 34134048 51201072 102402144