Search a number
-
+
102789344 = 2571726993
BaseRepresentation
bin1100010000001…
…11000011100000
321011102020110202
412020013003200
5202303224334
614111044332
72355460250
oct610070340
9234366422
10102789344
1153027179
122a5106a8
13183ac2c8
14d919960
15905617e
hex62070e0

102789344 has 48 divisors (see below), whose sum is σ = 244889568. Its totient is φ = 41459712.

The previous prime is 102789343. The next prime is 102789353. The reversal of 102789344 is 443987201.

It is a junction number, because it is equal to n+sod(n) for n = 102789298 and 102789307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102789343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9689 + ... + 17304.

It is an arithmetic number, because the mean of its divisors is an integer number (5101866).

Almost surely, 2102789344 is an apocalyptic number.

102789344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102789344 is an abundant number, since it is smaller than the sum of its proper divisors (142100224).

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

102789344 is a wasteful number, since it uses less digits than its factorization.

102789344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27027 (or 27019 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 102789344 is about 10138.5079770152. The cubic root of 102789344 is about 468.4350302688.

The spelling of 102789344 in words is "one hundred two million, seven hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 26993 53986 107972 188951 215944 377902 431888 458881 755804 863776 917762 1511608 1835524 3023216 3212167 3671048 6046432 6424334 7342096 12848668 14684192 25697336 51394672 102789344