Search a number
-
+
12609920 = 275171961
BaseRepresentation
bin110000000110…
…100110000000
3212201122120002
4300012212000
511212004140
61130135132
7212116421
oct60064600
925648502
1012609920
117133024
1242814a8
1327c67bb
141963648
151191415
hexc06980

12609920 has 128 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 4423680.

The previous prime is 12609917. The next prime is 12609931. The reversal of 12609920 is 2990621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206690 + ... + 206750.

Almost surely, 212609920 is an apocalyptic number.

12609920 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 12609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

12609920 is an abundant number, since it is smaller than the sum of its proper divisors (21539680).

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

12609920 is a wasteful number, since it uses less digits than its factorization.

12609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 12609920 is about 3551.0449166407. The cubic root of 12609920 is about 232.7577286136.

The spelling of 12609920 in words is "twelve million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 61 64 68 76 80 85 95 122 128 136 152 160 170 190 244 272 304 305 320 323 340 380 488 544 608 610 640 646 680 760 976 1037 1088 1159 1216 1220 1292 1360 1520 1615 1952 2074 2176 2318 2432 2440 2584 2720 3040 3230 3904 4148 4636 4880 5168 5185 5440 5795 6080 6460 7808 8296 9272 9760 10336 10370 10880 11590 12160 12920 16592 18544 19520 19703 20672 20740 23180 25840 33184 37088 39040 39406 41344 41480 46360 51680 66368 74176 78812 82960 92720 98515 103360 132736 148352 157624 165920 185440 197030 206720 315248 331840 370880 394060 630496 663680 741760 788120 1260992 1576240 2521984 3152480 6304960 12609920