Search a number
-
+
12708120 = 2335137773
BaseRepresentation
bin110000011110…
…100100011000
3212220122021010
4300132210120
511223124440
61132213520
7213005625
oct60364430
925818233
1012708120
11719a887
12430a2a0
13282c3c9
14198b34c
1511b0580
hexc1e918

12708120 has 64 divisors (see below), whose sum is σ = 38452320. Its totient is φ = 3359744.

The previous prime is 12708107. The next prime is 12708127. The reversal of 12708120 is 2180721.

It is a super-2 number, since 2×127081202 = 322992627868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12708127) 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, 16054 + ... + 16826.

Almost surely, 212708120 is an apocalyptic number.

12708120 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 12708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226160).

12708120 is an abundant number, since it is smaller than the sum of its proper divisors (25744200).

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

12708120 is a wasteful number, since it uses less digits than its factorization.

12708120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12708120 is about 3564.8450176691. The cubic root of 12708120 is about 233.3603687495.

Adding to 12708120 its reverse (2180721), we get a palindrome (14888841).

The spelling of 12708120 in words is "twelve million, seven hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 773 822 1096 1370 1546 1644 2055 2319 2740 3092 3288 3865 4110 4638 5480 6184 7730 8220 9276 11595 15460 16440 18552 23190 30920 46380 92760 105901 211802 317703 423604 529505 635406 847208 1059010 1270812 1588515 2118020 2541624 3177030 4236040 6354060 12708120