Search a number
-
+
102002096 = 2474197229
BaseRepresentation
bin1100001010001…
…10110110110000
321002221020120102
412011012312300
5202103031341
614042131532
72346001130
oct605066660
9232836512
10102002096
1152639759
122a1b0ba8
1318194b91
14d792ac0
158e4cc9b
hex6146db0

102002096 has 80 divisors (see below), whose sum is σ = 234776640. Its totient is φ = 42024960.

The previous prime is 102002071. The next prime is 102002107. The reversal of 102002096 is 690200201.

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, 445310 + ... + 445538.

It is an arithmetic number, because the mean of its divisors is an integer number (2934708).

Almost surely, 2102002096 is an apocalyptic number.

102002096 is a gapful number since it is divisible by the number (16) 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 102002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117388320).

102002096 is an abundant number, since it is smaller than the sum of its proper divisors (132774544).

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

102002096 is a wasteful number, since it uses less digits than its factorization.

102002096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 102002096 is about 10099.6087052915. The cubic root of 102002096 is about 467.2360732061.

Adding to 102002096 its reverse (690200201), we get a palindrome (792202297).

The spelling of 102002096 in words is "one hundred two million, two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 97 112 164 194 229 287 328 388 458 574 656 679 776 916 1148 1358 1552 1603 1832 2296 2716 3206 3664 3977 4592 5432 6412 7954 9389 10864 12824 15908 18778 22213 25648 27839 31816 37556 44426 55678 63632 65723 75112 88852 111356 131446 150224 155491 177704 222712 262892 310982 355408 445424 525784 621964 910733 1051568 1243928 1821466 2487856 3642932 6375131 7285864 12750262 14571728 25500524 51001048 102002096