Search a number
-
+
102796668 = 223313211347
BaseRepresentation
bin1100010000010…
…00110101111100
321011102121112000
412020020311330
5202303443133
614111142300
72355520512
oct610106574
9234377460
10102796668
1153031727
122a514990
13183b2740
14d91c4b2
159058413
hex6208d7c

102796668 has 96 divisors (see below), whose sum is σ = 289201920. Its totient is φ = 31389120.

The previous prime is 102796667. The next prime is 102796697. The reversal of 102796668 is 866697201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102796663) 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, 296071 + ... + 296417.

It is an arithmetic number, because the mean of its divisors is an integer number (3012520).

Almost surely, 2102796668 is an apocalyptic number.

102796668 is a gapful number since it is divisible by the number (18) 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 102796668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144600960).

102796668 is an abundant number, since it is smaller than the sum of its proper divisors (186405252).

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

102796668 is a wasteful number, since it uses less digits than its factorization.

102796668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 102796668 is about 10138.8691677129. The cubic root of 102796668 is about 468.4461557304.

The spelling of 102796668 in words is "one hundred two million, seven hundred ninety-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 211 234 347 351 422 468 633 694 702 844 1041 1266 1388 1404 1899 2082 2532 2743 3123 3798 4164 4511 5486 5697 6246 7596 8229 9022 9369 10972 11394 12492 13533 16458 18044 18738 22788 24687 27066 32916 37476 40599 49374 54132 73217 74061 81198 98748 121797 146434 148122 162396 219651 243594 292868 296244 439302 487188 658953 878604 951821 1317906 1903642 1976859 2635812 2855463 3807284 3953718 5710926 7907436 8566389 11421852 17132778 25699167 34265556 51398334 102796668