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12540150 = 2335271327
BaseRepresentation
bin101111110101…
…100011110110
3212121002212000
4233311203312
511202241100
61124440130
7211406130
oct57654366
925532760
1012540150
117095667
124249046
1327a0b0c
141946050
15117a900
hexbf58f6

12540150 has 96 divisors (see below), whose sum is σ = 39521280. Its totient is φ = 2864160.

The previous prime is 12540149. The next prime is 12540167. The reversal of 12540150 is 5104521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8787 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (411680).

Almost surely, 212540150 is an apocalyptic number.

12540150 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 12540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760640).

12540150 is an abundant number, since it is smaller than the sum of its proper divisors (26981130).

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

12540150 is a wasteful number, since it uses less digits than its factorization.

12540150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12540150 is about 3541.2074212054. The cubic root of 12540150 is about 232.3276558376.

Adding to 12540150 its reverse (5104521), we get a palindrome (17644671).

It can be divided in two parts, 12 and 540150, that multiplied together give a triangular number (6481800 = T3600).

The spelling of 12540150 in words is "twelve million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1327 1350 1575 1890 2654 3150 3981 4725 6635 7962 9289 9450 11943 13270 18578 19905 23886 27867 33175 35829 39810 46445 55734 59715 66350 71658 83601 92890 99525 119430 139335 167202 179145 199050 232225 250803 278670 298575 358290 418005 464450 501606 597150 696675 836010 895725 1254015 1393350 1791450 2090025 2508030 4180050 6270075 12540150