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107403408 = 2434711839
BaseRepresentation
bin1100110011011…
…01100010010000
321111002122210000
412121231202100
5204443402113
614354010000
72442625320
oct631554220
9244078700
10107403408
1155698852
122bb76900
1319336518
141039b280
159668373
hex666d890

107403408 has 100 divisors (see below), whose sum is σ = 355294720. Its totient is φ = 30684096.

The previous prime is 107403407. The next prime is 107403419. The reversal of 107403408 is 804304701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107403407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3153 + ... + 14991.

Almost surely, 2107403408 is an apocalyptic number.

107403408 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 107403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177647360).

107403408 is an abundant number, since it is smaller than the sum of its proper divisors (247891312).

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

107403408 is a wasteful number, since it uses less digits than its factorization.

107403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107403408 is about 10363.5615499692. The cubic root of 107403408 is about 475.3418156469.

The spelling of 107403408 in words is "one hundred seven million, four hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 11839 23678 35517 47356 71034 82873 94712 106551 142068 165746 189424 213102 248619 284136 319653 331492 426204 497238 568272 639306 662984 745857 852408 958959 994476 1278612 1325968 1491714 1704816 1917918 1988952 2237571 2557224 2983428 3835836 3977904 4475142 5114448 5966856 6712713 7671672 8950284 11933712 13425426 15343344 17900568 26850852 35801136 53701704 107403408