Search a number
-
+
115299990 = 233513107307
BaseRepresentation
bin1101101111101…
…01011010010110
322000221211212000
412313311122112
5214004044430
615235140130
72600014401
oct667653226
9260854760
10115299990
115a0a1653
1232744646
131ab6c860
1411454d38
15a1c7e60
hex6df5696

115299990 has 128 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 28024704.

The previous prime is 115299979. The next prime is 115299991. The reversal of 115299990 is 99992511.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115299991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375417 + ... + 375723.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2115299990 is an apocalyptic number.

115299990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115299990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

115299990 is an abundant number, since it is smaller than the sum of its proper divisors (220001130).

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

115299990 is a wasteful number, since it uses less digits than its factorization.

115299990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The square root of 115299990 is about 10737.7832907914. The cubic root of 115299990 is about 486.7168965690.

The spelling of 115299990 in words is "one hundred fifteen million, two hundred ninety-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 307 321 351 390 535 585 614 642 702 921 963 1070 1170 1391 1535 1605 1755 1842 1926 2763 2782 2889 3070 3210 3510 3991 4173 4605 4815 5526 5778 6955 7982 8289 8346 9210 9630 11973 12519 13815 13910 14445 16578 19955 20865 23946 25038 27630 28890 32849 35919 37557 39910 41445 41730 59865 62595 65698 71838 75114 82890 98547 107757 119730 125190 164245 179595 187785 197094 215514 295641 328490 359190 375570 427037 492735 538785 591282 854074 886923 985470 1077570 1281111 1478205 1773846 2135185 2562222 2956410 3843333 4270370 4434615 6405555 7686666 8869230 11529999 12811110 19216665 23059998 38433330 57649995 115299990