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107330454 = 23371183311
BaseRepresentation
bin1100110010110…
…11101110010110
321110221221201000
412121123232112
5204434033304
614352244130
72442202530
oct631335626
9243857630
10107330454
1155648a60
122bb40646
131930c25a
141037c850
159651939
hex665bb96

107330454 has 128 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 27453600.

The previous prime is 107330453. The next prime is 107330467. The reversal of 107330454 is 454033701.

It is a super-2 number, since 2×1073304542 = 23039652711692232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107330453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344959 + ... + 345269.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2107330454 is an apocalyptic number.

107330454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107330454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

107330454 is an abundant number, since it is smaller than the sum of its proper divisors (194585706).

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

107330454 is a wasteful number, since it uses less digits than its factorization.

107330454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 107330454 is about 10360.0412161342. The cubic root of 107330454 is about 475.2341656131.

The spelling of 107330454 in words is "one hundred seven million, three hundred thirty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 83 99 126 154 166 189 198 231 249 297 311 378 462 498 581 594 622 693 747 913 933 1162 1386 1494 1743 1826 1866 2079 2177 2241 2739 2799 3421 3486 4158 4354 4482 5229 5478 5598 6391 6531 6842 8217 8397 10263 10458 12782 13062 15687 16434 16794 19173 19593 20526 23947 24651 25813 30789 31374 38346 39186 47894 49302 51626 57519 58779 61578 71841 77439 92367 115038 117558 143682 154878 172557 180691 184734 215523 232317 283943 345114 361382 431046 464634 542073 567886 646569 696951 851829 1084146 1293138 1393902 1626219 1703658 1987601 2555487 3252438 3975202 4878657 5110974 5962803 7666461 9757314 11925606 15332922 17888409 35776818 53665227 107330454