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102354330 = 23513192727
BaseRepresentation
bin1100001100111…
…00110110011010
321010121010202010
412012130312122
5202200314310
614053450350
72351666061
oct606346632
9233533663
10102354330
115285a361
122a3409b6
13182892c0
14d8451d8
158ebc320
hex619cd9a

102354330 has 96 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 23836032.

The previous prime is 102354313. The next prime is 102354341. The reversal of 102354330 is 33453201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102354297 and 102354306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140427 + ... + 141153.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2102354330 is an apocalyptic number.

102354330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102354330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

102354330 is an abundant number, since it is smaller than the sum of its proper divisors (177232614).

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

102354330 is a wasteful number, since it uses less digits than its factorization.

102354330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 102354330 is about 10117.0316793020. The cubic root of 102354330 is about 467.7732757454.

The spelling of 102354330 in words is "one hundred two million, three hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 361 390 494 570 722 727 741 1083 1235 1454 1482 1805 2166 2181 2470 3610 3635 3705 4362 4693 5415 7270 7410 9386 9451 10830 10905 13813 14079 18902 21810 23465 27626 28158 28353 41439 46930 47255 56706 69065 70395 82878 94510 138130 140790 141765 179569 207195 262447 283530 359138 414390 524894 538707 787341 897845 1077414 1312235 1574682 1795690 2624470 2693535 3411811 3936705 5387070 6823622 7873410 10235433 17059055 20470866 34118110 51177165 102354330