Search a number
-
+
102685506 = 23711474729
BaseRepresentation
bin1100001111011…
…01101101000010
321011012222000220
412013231231002
5202241414011
614104523510
72354545440
oct607555502
9234188026
10102685506
1152a66160
122a480596
1318373c71
14d8cdb90
159035506
hex61edb42

102685506 has 64 divisors (see below), whose sum is σ = 261550080. Its totient is φ = 26098560.

The previous prime is 102685489. The next prime is 102685507. The reversal of 102685506 is 605586201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102685507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19350 + ... + 24078.

It is an arithmetic number, because the mean of its divisors is an integer number (4086720).

Almost surely, 2102685506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102685506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775040).

102685506 is an abundant number, since it is smaller than the sum of its proper divisors (158864574).

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

102685506 is a wasteful number, since it uses less digits than its factorization.

102685506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 102685506 is about 10133.3857125839. The cubic root of 102685506 is about 468.2772391231.

The spelling of 102685506 in words is "one hundred two million, six hundred eighty-five thousand, five hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 4729 7238 9458 10857 14187 21714 28374 33103 52019 66206 99309 104038 156057 198618 222263 312114 364133 444526 666789 728266 1092399 1333578 1555841 2184798 2444893 3111682 4667523 4889786 7334679 9335046 14669358 17114251 34228502 51342753 102685506