Search a number
-
+
12734820 = 2234571123
BaseRepresentation
bin110000100101…
…000101100100
3212221222220000
4300211011210
511230003240
61132541300
7213146520
oct60450544
925858800
1012734820
11720894a
124321830
13283b5c7
141996d80
1511b8430
hexc25164

12734820 has 120 divisors (see below), whose sum is σ = 45697344. Its totient is φ = 2908224.

The previous prime is 12734809. The next prime is 12734833. The reversal of 12734820 is 2843721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10779 + ... + 11901.

Almost surely, 212734820 is an apocalyptic number.

12734820 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 12734820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848672).

12734820 is an abundant number, since it is smaller than the sum of its proper divisors (32962524).

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

12734820 is a wasteful number, since it uses less digits than its factorization.

12734820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12734820 is about 3568.5879560409. The cubic root of 12734820 is about 233.5236859386.

The spelling of 12734820 in words is "twelve million, seven hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1123 1134 1260 1620 1890 2246 2268 2835 3369 3780 4492 5615 5670 6738 7861 10107 11230 11340 13476 15722 16845 20214 22460 23583 30321 31444 33690 39305 40428 47166 50535 60642 67380 70749 78610 90963 94332 101070 117915 121284 141498 151605 157220 181926 202140 212247 235830 282996 303210 353745 363852 424494 454815 471660 606420 636741 707490 848988 909630 1061235 1273482 1414980 1819260 2122470 2546964 3183705 4244940 6367410 12734820