Search a number
-
+
102614330 = 25721389181
BaseRepresentation
bin1100001110111…
…00010100111010
321011002100101202
412013130110322
5202232124310
614103214202
72354131100
oct607342472
9234070352
10102614330
1152a17735
122a447362
131834a750
14d8b1c70
15901e3a5
hex61dc53a

102614330 has 96 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 31933440.

The previous prime is 102614321. The next prime is 102614341. The reversal of 102614330 is 33416201.

It can be written as a sum of positive squares in 8 ways, for example, as 17689 + 102596641 = 133^2 + 10129^2 .

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, 566840 + ... + 567020.

Almost surely, 2102614330 is an apocalyptic number.

102614330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102614330 is an abundant number, since it is smaller than the sum of its proper divisors (132667990).

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

102614330 is a wasteful number, since it uses less digits than its factorization.

102614330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 102614330 is about 10129.8731482679. The cubic root of 102614330 is about 468.1690193561.

The spelling of 102614330 in words is "one hundred two million, six hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 89 91 98 130 178 181 182 245 362 445 455 490 623 637 890 905 910 1157 1246 1267 1274 1810 2314 2353 2534 3115 3185 4361 4706 5785 6230 6335 6370 8099 8722 8869 11570 11765 12670 16109 16198 16471 17738 21805 23530 32218 32942 40495 43610 44345 56693 80545 80990 82355 88690 112763 113386 115297 161090 164710 209417 225526 230594 283465 418834 563815 566930 576485 789341 1047085 1127630 1152970 1465919 1578682 2094170 2931838 3946705 7329595 7893410 10261433 14659190 20522866 51307165 102614330