Search a number
-
+
12038320 = 245723783
BaseRepresentation
bin101101111011…
…000010110000
3211122121110201
4231323002300
511040211240
61110004544
7204216100
oct55730260
924577421
1012038320
116882628
124046754
132656588
141855200
1510cbd9a
hexb7b0b0

12038320 has 120 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 3967488.

The previous prime is 12038317. The next prime is 12038339. The reversal of 12038320 is 2383021.

It is a happy number.

12038320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120383202 = 289842296844800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144999 + ... + 145081.

Almost surely, 212038320 is an apocalyptic number.

12038320 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 12038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

12038320 is an abundant number, since it is smaller than the sum of its proper divisors (21803264).

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

12038320 is a wasteful number, since it uses less digits than its factorization.

12038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12038320 is about 3469.6282221587. The cubic root of 12038320 is about 229.1862865112.

The spelling of 12038320 in words is "twelve million, thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 49 56 70 74 80 83 98 112 140 148 166 185 196 245 259 280 296 332 370 392 415 490 518 560 581 592 664 740 784 830 980 1036 1162 1295 1328 1480 1660 1813 1960 2072 2324 2590 2905 2960 3071 3320 3626 3920 4067 4144 4648 5180 5810 6142 6640 7252 8134 9065 9296 10360 11620 12284 14504 15355 16268 18130 20335 20720 21497 23240 24568 29008 30710 32536 36260 40670 42994 46480 49136 61420 65072 72520 81340 85988 107485 122840 145040 150479 162680 171976 214970 245680 300958 325360 343952 429940 601916 752395 859880 1203832 1504790 1719760 2407664 3009580 6019160 12038320