Search a number
-
+
102290076 = 223272913997
BaseRepresentation
bin1100001100011…
…01001010011100
321010110212121100
412012031022130
5202141240301
614052233100
72351310540
oct606151234
9233425540
10102290076
1152816059
122a30b790
1318265c95
14d829a20
158ea8286
hex618d29c

102290076 has 72 divisors (see below), whose sum is σ = 305716320. Its totient is φ = 28215936.

The previous prime is 102290063. The next prime is 102290081. The reversal of 102290076 is 670092201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310 + ... + 14306.

It is an arithmetic number, because the mean of its divisors is an integer number (4246060).

Almost surely, 2102290076 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 102290076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152858160).

102290076 is an abundant number, since it is smaller than the sum of its proper divisors (203426244).

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

102290076 is a wasteful number, since it uses less digits than its factorization.

102290076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102290076 is about 10113.8556446095. The cubic root of 102290076 is about 467.6753720689.

The spelling of 102290076 in words is "one hundred two million, two hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 13997 27994 41991 55988 83982 97979 125973 167964 195958 251946 293937 391916 405913 503892 587874 811826 881811 1175748 1217739 1623652 1763622 2435478 2841391 3527244 3653217 4870956 5682782 7306434 8524173 11365564 14612868 17048346 25572519 34096692 51145038 102290076