Search a number
-
+
12778740 = 223251343127
BaseRepresentation
bin110000101111…
…110011110100
3220001020010200
4300233303310
511232404430
61133520500
7213421542
oct60576364
926036120
1012778740
117238947
124343130
1328555b0
1419a8d92
1511c6460
hexc2fcf4

12778740 has 144 divisors (see below), whose sum is σ = 43051008. Its totient is φ = 3048192.

The previous prime is 12778729. The next prime is 12778741. The reversal of 12778740 is 4787721.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 12778695 and 12778704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12778741) 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, 100557 + ... + 100683.

Almost surely, 212778740 is an apocalyptic number.

12778740 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 12778740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525504).

12778740 is an abundant number, since it is smaller than the sum of its proper divisors (30272268).

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

12778740 is a wasteful number, since it uses less digits than its factorization.

12778740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 12778740 is about 3574.7363539148. The cubic root of 12778740 is about 233.7918376693.

The spelling of 12778740 in words is "twelve million, seven hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 127 129 130 156 172 180 195 215 234 254 258 260 381 387 390 430 468 508 516 559 585 635 645 762 774 780 860 1118 1143 1170 1270 1290 1524 1548 1651 1677 1905 1935 2236 2286 2340 2540 2580 2795 3302 3354 3810 3870 4572 4953 5031 5461 5590 5715 6604 6708 7620 7740 8255 8385 9906 10062 10922 11180 11430 14859 16383 16510 16770 19812 20124 21844 22860 24765 25155 27305 29718 32766 33020 33540 49149 49530 50310 54610 59436 65532 70993 74295 81915 98298 99060 100620 109220 141986 148590 163830 196596 212979 245745 283972 297180 327660 354965 425958 491490 638937 709930 851916 982980 1064895 1277874 1419860 2129790 2555748 3194685 4259580 6389370 12778740