[go: up one dir, main page]

Search a number
-
+
12776940 = 2235511239
BaseRepresentation
bin110000101111…
…010111101100
3220001010200000
4300233113230
511232330230
61133504300
7213413361
oct60572754
926033600
1012776940
117237560
124342090
132854827
1419a8468
1511c5b60
hexc2f5ec

12776940 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3084480.

The previous prime is 12776921. The next prime is 12776941. The reversal of 12776940 is 4967721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12776895 and 12776904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12776941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53341 + ... + 53579.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 212776940 is an apocalyptic number.

12776940 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 12776940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12776940 is an abundant number, since it is smaller than the sum of its proper divisors (31252500).

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

12776940 is a wasteful number, since it uses less digits than its factorization.

12776940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12776940 is about 3574.4845782294. The cubic root of 12776940 is about 233.7808599290.

The spelling of 12776940 in words is "twelve million, seven hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 239 243 270 297 324 330 396 405 478 486 495 540 594 660 717 810 891 956 972 990 1188 1195 1215 1434 1485 1620 1782 1980 2151 2390 2430 2629 2673 2868 2970 3564 3585 4302 4455 4780 4860 5258 5346 5940 6453 7170 7887 8604 8910 10516 10692 10755 12906 13145 13365 14340 15774 17820 19359 21510 23661 25812 26290 26730 31548 32265 38718 39435 43020 47322 52580 53460 58077 64530 70983 77436 78870 94644 96795 116154 118305 129060 141966 157740 193590 212949 232308 236610 283932 290385 354915 387180 425898 473220 580770 638847 709830 851796 1064745 1161540 1277694 1419660 2129490 2555388 3194235 4258980 6388470 12776940