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13770068 = 22131737421
BaseRepresentation
bin110100100001…
…110101010100
3221220120222112
4310201311110
512011120233
61211050152
7225020654
oct64416524
927816875
1013770068
117855724
124740958
132b11890
141b86364
151320048
hexd21d54

13770068 has 48 divisors (see below), whose sum is σ = 28287504. Its totient is φ = 5806080.

The previous prime is 13770061. The next prime is 13770091. The reversal of 13770068 is 86007731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 432964 + 13337104 = 658^2 + 3652^2 .

It is a super-2 number, since 2×137700682 = 379229545449248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770061) 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 15 ways as a sum of consecutive naturals, for example, 32498 + ... + 32918.

It is an arithmetic number, because the mean of its divisors is an integer number (589323).

Almost surely, 213770068 is an apocalyptic number.

It is an amenable number.

13770068 is an abundant number, since it is smaller than the sum of its proper divisors (14517436).

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

13770068 is a wasteful number, since it uses less digits than its factorization.

13770068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 13770068 is about 3710.8042255015. The cubic root of 13770068 is about 239.6874867596.

Adding to 13770068 its reverse (86007731), we get a palindrome (99777799).

It can be divided in two parts, 137700 and 68, that multiplied together give a square (9363600 = 30602).

The spelling of 13770068 in words is "thirteen million, seven hundred seventy thousand, sixty-eight".

Divisors: 1 2 4 13 17 26 34 37 52 68 74 148 221 421 442 481 629 842 884 962 1258 1684 1924 2516 5473 7157 8177 10946 14314 15577 16354 21892 28628 31154 32708 62308 93041 186082 202501 264809 372164 405002 529618 810004 1059236 3442517 6885034 13770068