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102029004 = 223371112269
BaseRepresentation
bin1100001010011…
…01011011001100
321002222121111000
412011031123030
5202104412004
614042500300
72346142440
oct605153314
9232877430
10102029004
11526579a0
122a204690
13181a41bc
14d79c820
158e55c39
hex614d6cc

102029004 has 96 divisors (see below), whose sum is σ = 329817600. Its totient is φ = 26498880.

The previous prime is 102028921. The next prime is 102029051. The reversal of 102029004 is 400920201.

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

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 31 ways as a sum of consecutive naturals, for example, 2182 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (3435600).

Almost surely, 2102029004 is an apocalyptic number.

102029004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102029004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164908800).

102029004 is an abundant number, since it is smaller than the sum of its proper divisors (227788596).

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

102029004 is a wasteful number, since it uses less digits than its factorization.

102029004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102029004 is about 10100.9407482670. The cubic root of 102029004 is about 467.2771549857.

Adding to 102029004 its reverse (400920201), we get a palindrome (502949205).

The spelling of 102029004 in words is "one hundred two million, twenty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 12269 24538 36807 49076 73614 85883 110421 134959 147228 171766 220842 257649 269918 331263 343532 404877 441684 515298 539836 662526 772947 809754 944713 1030596 1214631 1325052 1545894 1619508 1889426 2318841 2429262 2834139 3091788 3643893 3778852 4637682 4858524 5668278 7287786 8502417 9275364 11336556 14575572 17004834 25507251 34009668 51014502 102029004