Search a number
-
+
115726440 = 23352334139
BaseRepresentation
bin1101110010111…
…01100001101000
322001202111211110
412321131201220
5214111221230
615252230320
72603441604
oct671354150
9261674743
10115726440
115a362a95
123290b3a0
131ac8b9ab
1411526504
15a25e4b0
hex6e5d868

115726440 has 64 divisors (see below), whose sum is σ = 348753600. Its totient is φ = 30720512.

The previous prime is 115726423. The next prime is 115726451. The reversal of 115726440 is 44627511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115726398 and 115726407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25891 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (5449275).

Almost surely, 2115726440 is an apocalyptic number.

115726440 is a gapful number since it is divisible by the number (10) 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 115726440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174376800).

115726440 is an abundant number, since it is smaller than the sum of its proper divisors (233027160).

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

115726440 is a wasteful number, since it uses less digits than its factorization.

115726440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 115726440 is about 10757.6224138980. The cubic root of 115726440 is about 487.3162173780.

The spelling of 115726440 in words is "one hundred fifteen million, seven hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4139 4660 5592 6990 8278 9320 12417 13980 16556 20695 24834 27960 33112 41390 49668 62085 82780 99336 124170 165560 248340 496680 964387 1928774 2893161 3857548 4821935 5786322 7715096 9643870 11572644 14465805 19287740 23145288 28931610 38575480 57863220 115726440