Search a number
-
+
12710900 = 2252177477
BaseRepresentation
bin110000011111…
…001111110100
3212220210002002
4300133033310
511223222100
61132234432
7213020006
oct60371764
925823062
1012710900
1171a1984
12430ba18
132830757
14198c376
1511b12d5
hexc1f3f4

12710900 has 36 divisors (see below), whose sum is σ = 29209068. Its totient is φ = 4784640.

The previous prime is 12710897. The next prime is 12710909. The reversal of 12710900 is 901721.

It can be written as a sum of positive squares in 6 ways, for example, as 1069156 + 11641744 = 1034^2 + 3412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12710909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2039 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (811363).

Almost surely, 212710900 is an apocalyptic number.

12710900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12710900 is an abundant number, since it is smaller than the sum of its proper divisors (16498168).

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

12710900 is a wasteful number, since it uses less digits than its factorization.

12710900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 12710900 is about 3565.2349151213. The cubic root of 12710900 is about 233.3773839735.

The spelling of 12710900 in words is "twelve million, seven hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7477 14954 29908 37385 74770 127109 149540 186925 254218 373850 508436 635545 747700 1271090 2542180 3177725 6355450 12710900