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102144024 = 23331727817
BaseRepresentation
bin1100001011010…
…01100000011000
321010012110021000
412011221200120
5202122102044
614045145000
72350131663
oct605514030
9233173230
10102144024
1152726354
122a25b160
1318214668
14d7cc6da
158e79d69
hex6169818

102144024 has 64 divisors (see below), whose sum is σ = 300434400. Its totient is φ = 32044032.

The previous prime is 102144001. The next prime is 102144037. The reversal of 102144024 is 420441201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102143988 and 102144006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10237 + ... + 17580.

Almost surely, 2102144024 is an apocalyptic number.

It is an amenable number.

102144024 is an abundant number, since it is smaller than the sum of its proper divisors (198290376).

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

102144024 is a wasteful number, since it uses less digits than its factorization.

102144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27849 (or 27839 counting only the distinct ones).

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

The square root of 102144024 is about 10106.6326736456. The cubic root of 102144024 is about 467.4526803507.

Adding to 102144024 its reverse (420441201), we get a palindrome (522585225).

The spelling of 102144024 in words is "one hundred two million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 27817 55634 83451 111268 166902 222536 250353 333804 472889 500706 667608 751059 945778 1001412 1418667 1502118 1891556 2002824 2837334 3004236 3783112 4256001 5674668 6008472 8512002 11349336 12768003 17024004 25536006 34048008 51072012 102144024