Search a number
-
+
12785570 = 257297269
BaseRepresentation
bin110000110001…
…011110100010
3220001120111122
4300301132202
511233114240
61134012242
7213450500
oct60613642
926046448
1012785570
117242a96
124347082
132858735
1419ab670
1511c84b5
hexc317a2

12785570 has 48 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 4322304.

The previous prime is 12785527. The next prime is 12785579. The reversal of 12785570 is 7558721.

It can be written as a sum of positive squares in 4 ways, for example, as 6817321 + 5968249 = 2611^2 + 2443^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12785570.

It is not an unprimeable number, because it can be changed into a prime (12785579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47396 + ... + 47664.

Almost surely, 212785570 is an apocalyptic number.

12785570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12785570 is an abundant number, since it is smaller than the sum of its proper divisors (14362390).

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

12785570 is a wasteful number, since it uses less digits than its factorization.

12785570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 12785570 is about 3575.6915415063. The cubic root of 12785570 is about 233.8334827207.

The spelling of 12785570 in words is "twelve million, seven hundred eighty-five thousand, five hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 97 98 194 245 269 485 490 538 679 970 1345 1358 1883 2690 3395 3766 4753 6790 9415 9506 13181 18830 23765 26093 26362 47530 52186 65905 130465 131810 182651 260930 365302 913255 1278557 1826510 2557114 6392785 12785570