Search a number
-
+
15330120 = 23351331317
BaseRepresentation
bin111010011110…
…101101001000
31001211211222020
4322132231020
512411030440
61304324440
7244206141
oct72365510
931754866
1015330120
118720823
125173720
1332399a0
142070ac8
15152c3d0
hexe9eb48

15330120 has 128 divisors (see below), whose sum is σ = 51287040. Its totient is φ = 3640320.

The previous prime is 15330109. The next prime is 15330137. The reversal of 15330120 is 2103351.

15330120 = T365 + T366 + ... + T519.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 15330120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48202 + ... + 48518.

It is an arithmetic number, because the mean of its divisors is an integer number (400680).

Almost surely, 215330120 is an apocalyptic number.

15330120 is a gapful number since it is divisible by the number (10) 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 15330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643520).

15330120 is an abundant number, since it is smaller than the sum of its proper divisors (35956920).

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

15330120 is a wasteful number, since it uses less digits than its factorization.

15330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 15330120 is about 3915.3697143437. The cubic root of 15330120 is about 248.4173081568.

Adding to 15330120 its reverse (2103351), we get a palindrome (17433471).

The spelling of 15330120 in words is "fifteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 317 372 390 403 465 520 620 634 744 780 806 930 951 1209 1240 1268 1560 1585 1612 1860 1902 2015 2418 2536 3170 3224 3720 3804 4030 4121 4755 4836 6045 6340 7608 8060 8242 9510 9672 9827 12090 12363 12680 16120 16484 19020 19654 20605 24180 24726 29481 32968 38040 39308 41210 48360 49135 49452 58962 61815 78616 82420 98270 98904 117924 123630 127751 147405 164840 196540 235848 247260 255502 294810 383253 393080 494520 511004 589620 638755 766506 1022008 1179240 1277510 1533012 1916265 2555020 3066024 3832530 5110040 7665060 15330120