Search a number
-
+
15066150 = 23521123397
BaseRepresentation
bin111001011110…
…010000100110
31001100102212120
4321132100212
512324104100
61254530410
7242026431
oct71362046
931312776
1015066150
118560470
125066a06
1331767a8
142002818
1514c90a0
hexe5e426

15066150 has 96 divisors (see below), whose sum is σ = 42640128. Its totient is φ = 3484800.

The previous prime is 15066143. The next prime is 15066193. The reversal of 15066150 is 5166051.

15066150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15066150.

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, 37752 + ... + 38148.

It is an arithmetic number, because the mean of its divisors is an integer number (444168).

Almost surely, 215066150 is an apocalyptic number.

15066150 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 15066150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320064).

15066150 is an abundant number, since it is smaller than the sum of its proper divisors (27573978).

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

15066150 is a wasteful number, since it uses less digits than its factorization.

15066150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 15066150 is about 3881.5138799185. The cubic root of 15066150 is about 246.9832089860.

Subtracting from 15066150 its reverse (5166051), we obtain a palindrome (9900099).

It can be divided in two parts, 150 and 66150, that multiplied together give a square (9922500 = 31502).

The spelling of 15066150 in words is "fifteen million, sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 138 150 165 230 253 275 330 345 397 506 550 575 690 759 794 825 1150 1191 1265 1518 1650 1725 1985 2382 2530 3450 3795 3970 4367 5955 6325 7590 8734 9131 9925 11910 12650 13101 18262 18975 19850 21835 26202 27393 29775 37950 43670 45655 54786 59550 65505 91310 100441 109175 131010 136965 200882 218350 228275 273930 301323 327525 456550 502205 602646 655050 684825 1004410 1369650 1506615 2511025 3013230 5022050 7533075 15066150