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102304098 = 232135373113
BaseRepresentation
bin1100001100100…
…00100101100010
321010111120211200
412012100211202
5202142212343
614052422030
72351366451
oct606204542
9233446750
10102304098
1152825646
122a317916
131826c490
14d830b98
158eac4d3
hex6190962

102304098 has 96 divisors (see below), whose sum is σ = 248727024. Its totient is φ = 30191616.

The previous prime is 102304093. The next prime is 102304099. The reversal of 102304098 is 890403201.

It can be written as a sum of positive squares in 8 ways, for example, as 16426809 + 85877289 = 4053^2 + 9267^2 .

It is a super-2 number, since 2×1023040982 = 20932256935187208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102304093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905290 + ... + 905402.

Almost surely, 2102304098 is an apocalyptic number.

102304098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124363512).

102304098 is an abundant number, since it is smaller than the sum of its proper divisors (146422926).

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

102304098 is a wasteful number, since it uses less digits than its factorization.

102304098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102304098 is about 10114.5488282968. The cubic root of 102304098 is about 467.6967408556.

Adding to 102304098 its reverse (890403201), we get a palindrome (992707299).

The spelling of 102304098 in words is "one hundred two million, three hundred four thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 53 73 78 106 113 117 146 159 219 226 234 318 339 438 477 657 678 689 949 954 1017 1314 1378 1469 1898 2034 2067 2847 2938 3869 4134 4407 5694 5989 6201 7738 8249 8541 8814 11607 11978 12402 13221 16498 17082 17967 23214 24747 26442 34821 35934 49494 50297 53901 69642 74241 77857 100594 107237 107802 148482 150891 155714 214474 233571 301782 321711 437197 452673 467142 643422 700713 874394 905346 965133 1311591 1401426 1930266 2623182 3934773 5683561 7869546 11367122 17050683 34101366 51152049 102304098