Search a number
-
+
102715788 = 223710112107
BaseRepresentation
bin1100001111101…
…01000110001100
321011021111120110
412013311012030
5202243401123
614105320020
72355032640
oct607650614
9234244513
10102715788
1152a8698a
122a496010
1318384996
14d8dac20
15903e493
hex61f518c

102715788 has 48 divisors (see below), whose sum is σ = 276643584. Its totient is φ = 29054400.

The previous prime is 102715759. The next prime is 102715793. The reversal of 102715788 is 887517201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (5763408).

Almost surely, 2102715788 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 102715788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138321792).

102715788 is an abundant number, since it is smaller than the sum of its proper divisors (173927796).

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

102715788 is a wasteful number, since it uses less digits than its factorization.

102715788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 102715788 is about 10134.8797723505. The cubic root of 102715788 is about 468.3232663188.

The spelling of 102715788 in words is "one hundred two million, seven hundred fifteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 12107 24214 36321 48428 72642 84749 145284 169498 254247 338996 508494 1016988 1222807 2445614 3668421 4891228 7336842 8559649 14673684 17119298 25678947 34238596 51357894 102715788