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15090138 = 234721901
BaseRepresentation
bin111001100100…
…000111011010
31001101122210000
4321210013122
512330341023
61255233430
7242156400
oct71440732
931348700
1015090138
118577498
125078876
13318469b
14200b470
1514d1243
hexe641da

15090138 has 60 divisors (see below), whose sum is σ = 39354282. Its totient is φ = 4309200.

The previous prime is 15090137. The next prime is 15090157. The reversal of 15090138 is 83109051.

15090138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14768649 + 321489 = 3843^2 + 567^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15090137) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6988 + ... + 8888.

Almost surely, 215090138 is an apocalyptic number.

15090138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15090138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677141).

15090138 is an abundant number, since it is smaller than the sum of its proper divisors (24264144).

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

15090138 is a wasteful number, since it uses less digits than its factorization.

15090138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 15090138 is about 3884.6026823859. The cubic root of 15090138 is about 247.1142199308.

Adding to 15090138 its reverse (83109051), we get a palindrome (98199189).

The spelling of 15090138 in words is "fifteen million, ninety thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 1901 2646 3802 3969 5703 7938 11406 13307 17109 26614 34218 39921 51327 79842 93149 102654 119763 153981 186298 239526 279447 307962 359289 558894 718578 838341 1077867 1676682 2155734 2515023 5030046 7545069 15090138