[go: up one dir, main page]

Search a number
-
+
12738740 = 2257194789
BaseRepresentation
bin110000100110…
…000010110100
3212222012021012
4300212002310
511230114430
61133011352
7213164120
oct60460264
925865235
1012738740
117210893
124323b58
132840321
141998580
1511b9695
hexc260b4

12738740 has 48 divisors (see below), whose sum is σ = 32188800. Its totient is φ = 4136832.

The previous prime is 12738727. The next prime is 12738779. The reversal of 12738740 is 4783721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12738697 and 12738706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (670600).

Almost surely, 212738740 is an apocalyptic number.

12738740 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 12738740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094400).

12738740 is an abundant number, since it is smaller than the sum of its proper divisors (19450060).

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

12738740 is a wasteful number, since it uses less digits than its factorization.

12738740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 12738740 is about 3569.1371506290. The cubic root of 12738740 is about 233.5476443701.

The spelling of 12738740 in words is "twelve million, seven hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 4789 9578 19156 23945 33523 47890 67046 90991 95780 134092 167615 181982 335230 363964 454955 636937 670460 909910 1273874 1819820 2547748 3184685 6369370 12738740