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12030720 = 283513241
BaseRepresentation
bin101101111001…
…001100000000
3211122020001020
4231321030000
511034440340
61105505440
7204154662
oct55711400
924566036
1012030720
116877949
124042280
132652c90
141852532
1510c99d0
hexb79300

12030720 has 144 divisors (see below), whose sum is σ = 41550432. Its totient is φ = 2949120.

The previous prime is 12030719. The next prime is 12030727. The reversal of 12030720 is 2703021.

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 12030720.

It is not an unprimeable number, because it can be changed into a prime (12030727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49800 + ... + 50040.

Almost surely, 212030720 is an apocalyptic number.

12030720 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 12030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775216).

12030720 is an abundant number, since it is smaller than the sum of its proper divisors (29519712).

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

12030720 is a wasteful number, since it uses less digits than its factorization.

12030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 12030720 is about 3468.5328310397. The cubic root of 12030720 is about 229.1380466003.

Adding to 12030720 its reverse (2703021), we get a palindrome (14733741).

It can be divided in two parts, 120 and 30720, that multiplied together give a square (3686400 = 19202).

The spelling of 12030720 in words is "twelve million, thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 241 256 260 312 320 384 390 416 480 482 520 624 640 723 768 780 832 960 964 1040 1205 1248 1280 1446 1560 1664 1920 1928 2080 2410 2496 2892 3120 3133 3328 3615 3840 3856 4160 4820 4992 5784 6240 6266 7230 7712 8320 9399 9640 9984 11568 12480 12532 14460 15424 15665 16640 18798 19280 23136 24960 25064 28920 30848 31330 37596 38560 46272 46995 49920 50128 57840 61696 62660 75192 77120 92544 93990 100256 115680 125320 150384 154240 185088 187980 200512 231360 250640 300768 308480 375960 401024 462720 501280 601536 751920 802048 925440 1002560 1203072 1503840 2005120 2406144 3007680 4010240 6015360 12030720