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115407054 = 23272235689
BaseRepresentation
bin1101110000011…
…11100011001110
322001011021201100
412320033203032
5214021011204
615241323530
72600641500
oct670174316
9261137640
10115407054
115a165034
12327965a6
131aba94c9
1411481d70
15a1e9a39
hex6e0f8ce

115407054 has 72 divisors (see below), whose sum is σ = 303572880. Its totient is φ = 31534272.

The previous prime is 115407053. The next prime is 115407073. The reversal of 115407054 is 450704511.

It is a happy number.

115407054 is a `hidden beast` number, since 1 + 1 + 540 + 70 + 54 = 666.

It is a super-2 number, since 2×1154070542 = 26637576225917832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115407053) 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, 17442 + ... + 23130.

It is an arithmetic number, because the mean of its divisors is an integer number (4216290).

Almost surely, 2115407054 is an apocalyptic number.

115407054 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 115407054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151786440).

115407054 is an abundant number, since it is smaller than the sum of its proper divisors (188165826).

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

115407054 is a wasteful number, since it uses less digits than its factorization.

115407054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 115407054 is about 10742.7675205228. The cubic root of 115407054 is about 486.8675000424.

The spelling of 115407054 in words is "one hundred fifteen million, four hundred seven thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2254 2898 3381 5689 6762 10143 11378 17067 20286 34134 39823 51201 79646 102402 119469 130847 238938 261694 278761 358407 392541 557522 716814 785082 836283 915929 1177623 1672566 1831858 2355246 2508849 2747787 5017698 5495574 6411503 8243361 12823006 16486722 19234509 38469018 57703527 115407054