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102144304 = 24192771213
BaseRepresentation
bin1100001011010…
…01100100110000
321010012110122101
412011221210300
5202122104204
614045150144
72350132543
oct605514460
9233173571
10102144304
1152726589
122a25b354
1318214822
14d7cc85a
158e79ea4
hex6169930

102144304 has 40 divisors (see below), whose sum is σ = 209245040. Its totient is φ = 48169728.

The previous prime is 102144299. The next prime is 102144337. The reversal of 102144304 is 403441201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83602 + ... + 84814.

It is an arithmetic number, because the mean of its divisors is an integer number (5231126).

Almost surely, 2102144304 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 102144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104622520).

102144304 is an abundant number, since it is smaller than the sum of its proper divisors (107100736).

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

102144304 is a wasteful number, since it uses less digits than its factorization.

102144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 102144304 is about 10106.6465259254. The cubic root of 102144304 is about 467.4531074817.

Adding to 102144304 its reverse (403441201), we get a palindrome (505585505).

The spelling of 102144304 in words is "one hundred two million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 277 304 554 1108 1213 2216 2426 4432 4852 5263 9704 10526 19408 21052 23047 42104 46094 84208 92188 184376 336001 368752 672002 1344004 2688008 5376016 6384019 12768038 25536076 51072152 102144304