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115692980 = 225134110853
BaseRepresentation
bin1101110010101…
…01010110110100
322001200210221012
412321111112310
5214104133410
615251411352
72603242214
oct671252664
9261623835
10115692980
115a33a937
12328b3b58
131ac796b0
1411518244
15a254605
hex6e555b4

115692980 has 48 divisors (see below), whose sum is σ = 268050384. Its totient is φ = 41671680.

The previous prime is 115692979. The next prime is 115692989. The reversal of 115692980 is 89296511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29463184 + 86229796 = 5428^2 + 9286^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115692989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5234 + ... + 16086.

It is an arithmetic number, because the mean of its divisors is an integer number (5584383).

Almost surely, 2115692980 is an apocalyptic number.

115692980 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 115692980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134025192).

115692980 is an abundant number, since it is smaller than the sum of its proper divisors (152357404).

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

115692980 is a wasteful number, since it uses less digits than its factorization.

115692980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 115692980 is about 10756.0671251159. The cubic root of 115692980 is about 487.2692469180.

The spelling of 115692980 in words is "one hundred fifteen million, six hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 10853 21706 43412 54265 108530 141089 217060 282178 444973 564356 705445 889946 1410890 1779892 2224865 2821780 4449730 5784649 8899460 11569298 23138596 28923245 57846490 115692980