Search a number
-
+
12150648 = 2334171103
BaseRepresentation
bin101110010110…
…011101111000
3211212022120000
4232112131320
511102310043
61112233000
7205164426
oct56263570
924768500
1012150648
116949a64
12409b760
132695743
141884116
1511002d3
hexb96778

12150648 has 80 divisors (see below), whose sum is σ = 36067680. Its totient is φ = 3808512.

The previous prime is 12150641. The next prime is 12150673. The reversal of 12150648 is 84605121.

12150648 is a `hidden beast` number, since 1 + 2 + 15 + 0 + 648 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10465 + ... + 11567.

It is an arithmetic number, because the mean of its divisors is an integer number (450846).

Almost surely, 212150648 is an apocalyptic number.

12150648 is a gapful number since it is divisible by the number (18) 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 12150648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033840).

12150648 is an abundant number, since it is smaller than the sum of its proper divisors (23917032).

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

12150648 is a wasteful number, since it uses less digits than its factorization.

12150648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12150648 is about 3485.7779619477. Note that the first 3 decimals coincide. The cubic root of 12150648 is about 229.8969166291.

Adding to 12150648 its reverse (84605121), we get a palindrome (96755769).

The spelling of 12150648 in words is "twelve million, one hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1103 1224 1377 1836 2206 2754 3309 3672 4412 5508 6618 8824 9927 11016 13236 18751 19854 26472 29781 37502 39708 56253 59562 75004 79416 89343 112506 119124 150008 168759 178686 225012 238248 337518 357372 450024 506277 675036 714744 1012554 1350072 1518831 2025108 3037662 4050216 6075324 12150648