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109414008 = 233211219661
BaseRepresentation
bin1101000010110…
…00011001111000
321121212210210200
412201120121320
5211002222013
614505042200
72466001164
oct641303170
9247783720
10109414008
1156841400
1230786360
131988b722
1410761ca4
159913e73
hex6858678

109414008 has 144 divisors (see below), whose sum is σ = 343379400. Its totient is φ = 31363200.

The previous prime is 109414001. The next prime is 109414009. The reversal of 109414008 is 800414901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109414001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165198 + ... + 165858.

Almost surely, 2109414008 is an apocalyptic number.

109414008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171689700).

109414008 is an abundant number, since it is smaller than the sum of its proper divisors (233965392).

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

109414008 is a wasteful number, since it uses less digits than its factorization.

109414008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109414008 is about 10460.1151045292. The cubic root of 109414008 is about 478.2896419791.

Adding to 109414008 its reverse (800414901), we get a palindrome (909828909).

The spelling of 109414008 in words is "one hundred nine million, four hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 661 684 726 792 836 968 1089 1254 1322 1368 1452 1672 1881 1983 2178 2299 2508 2644 2904 3762 3966 4356 4598 5016 5288 5949 6897 7271 7524 7932 8712 9196 11898 12559 13794 14542 15048 15864 18392 20691 21813 23796 25118 27588 29084 37677 41382 43626 47592 50236 55176 58168 65439 75354 79981 82764 87252 100472 113031 130878 138149 150708 159962 165528 174504 226062 239943 261756 276298 301416 319924 414447 452124 479886 523512 552596 639848 719829 828894 904248 959772 1105192 1243341 1439658 1519639 1657788 1919544 2486682 2879316 3039278 3315576 4558917 4973364 5758632 6078556 9117834 9946728 12157112 13676751 18235668 27353502 36471336 54707004 109414008