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15320970 = 2325783293
BaseRepresentation
bin111010011100…
…011110001010
31001211101102100
4322130132022
512410232340
61304214230
7244140360
oct72343612
931741370
1015320970
118714965
12516a376
133235782
14206b630
151529830
hexe9c78a

15320970 has 96 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 3447936.

The previous prime is 15320953. The next prime is 15320971. The reversal of 15320970 is 7902351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15320971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 52144 + ... + 52436.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 215320970 is an apocalyptic number.

15320970 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 15320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

15320970 is an abundant number, since it is smaller than the sum of its proper divisors (30909942).

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

15320970 is a wasteful number, since it uses less digits than its factorization.

15320970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 15320970 is about 3914.2010679065. The cubic root of 15320970 is about 248.3678745201.

It can be divided in two parts, 15320 and 970, that added together give a triangular number (16290 = T180).

The spelling of 15320970 in words is "fifteen million, three hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 293 315 415 498 581 586 630 747 830 879 1162 1245 1465 1494 1743 1758 2051 2490 2637 2905 2930 3486 3735 4102 4395 5229 5274 5810 6153 7470 8715 8790 10255 10458 12306 13185 17430 18459 20510 24319 26145 26370 30765 36918 48638 52290 61530 72957 92295 121595 145914 170233 184590 218871 243190 340466 364785 437742 510699 729570 851165 1021398 1094355 1532097 1702330 2188710 2553495 3064194 5106990 7660485 15320970