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108714330 = 232523291811
BaseRepresentation
bin1100111101011…
…01100101011010
321120120021000200
412132231211122
5210312324310
614442043030
72460025254
oct636554532
9246507020
10108714330
115640375a
12304a9476
13196a510a
141061ccd4
1598269c0
hex67ad95a

108714330 has 96 divisors (see below), whose sum is σ = 305285760. Its totient is φ = 26759040.

The previous prime is 108714323. The next prime is 108714343. The reversal of 108714330 is 33417801.

108714330 = T204 + T205 + ... + T870.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108714294 and 108714303.

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, 59125 + ... + 60935.

It is an arithmetic number, because the mean of its divisors is an integer number (3180060).

Almost surely, 2108714330 is an apocalyptic number.

108714330 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 108714330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152642880).

108714330 is an abundant number, since it is smaller than the sum of its proper divisors (196571430).

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

108714330 is a wasteful number, since it uses less digits than its factorization.

108714330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108714330 is about 10426.6164214476. The cubic root of 108714330 is about 477.2679427597.

The spelling of 108714330 in words is "one hundred eight million, seven hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 667 690 870 1035 1305 1334 1811 2001 2070 2610 3335 3622 4002 5433 6003 6670 9055 10005 10866 12006 16299 18110 20010 27165 30015 32598 41653 52519 54330 60030 81495 83306 105038 124959 157557 162990 208265 249918 262595 315114 374877 416530 472671 525190 624795 749754 787785 945342 1207937 1249590 1575570 1874385 2363355 2415874 3623811 3748770 4726710 6039685 7247622 10871433 12079370 18119055 21742866 36238110 54357165 108714330