Search a number
-
+
12320880 = 24351113359
BaseRepresentation
bin101111000000…
…000001110000
3212011222001220
4233000001300
511123232010
61120025040
7206503635
oct57000160
925158056
1012320880
116a55950
124162180
132725080
1418ca18c
151135970
hexbc0070

12320880 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2749440.

The previous prime is 12320863. The next prime is 12320881. The reversal of 12320880 is 8802321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12320880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34141 + ... + 34499.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 212320880 is an apocalyptic number.

12320880 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 12320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12320880 is an abundant number, since it is smaller than the sum of its proper divisors (32676240).

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

12320880 is a wasteful number, since it uses less digits than its factorization.

12320880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12320880 is about 3510.1111093525. Note that the first 4 decimals coincide. The cubic root of 12320880 is about 230.9655689767.

The spelling of 12320880 in words is "twelve million, three hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 359 390 429 440 520 528 572 624 660 715 718 780 858 880 1040 1077 1144 1320 1430 1436 1560 1716 1795 2145 2154 2288 2640 2860 2872 3120 3432 3590 3949 4290 4308 4667 5385 5720 5744 6864 7180 7898 8580 8616 9334 10770 11440 11847 14001 14360 15796 17160 17232 18668 19745 21540 23335 23694 28002 28720 31592 34320 37336 39490 43080 46670 47388 51337 56004 59235 63184 70005 74672 78980 86160 93340 94776 102674 112008 118470 140010 154011 157960 186680 189552 205348 224016 236940 256685 280020 308022 315920 373360 410696 473880 513370 560040 616044 770055 821392 947760 1026740 1120080 1232088 1540110 2053480 2464176 3080220 4106960 6160440 12320880