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10127780 = 2251338953
BaseRepresentation
bin100110101000…
…100110100100
3201001112200222
4212220212210
510043042110
61001023512
7152041025
oct46504644
921045628
1010127780
115798173
123484b98
132137a90
1414b8c4c
15d50c55
hex9a89a4

10127780 has 24 divisors (see below), whose sum is σ = 22904952. Its totient is φ = 3739392.

The previous prime is 10127773. The next prime is 10127783. The reversal of 10127780 is 8772101.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 8145316 = 1408^2 + 2854^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10127783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19217 + ... + 19736.

It is an arithmetic number, because the mean of its divisors is an integer number (954373).

Almost surely, 210127780 is an apocalyptic number.

10127780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10127780 is an abundant number, since it is smaller than the sum of its proper divisors (12777172).

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

10127780 is a wasteful number, since it uses less digits than its factorization.

10127780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38975 (or 38973 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 10127780 is about 3182.4173202143. The cubic root of 10127780 is about 216.3572335061.

Adding to 10127780 its reverse (8772101), we get a palindrome (18899881).

The spelling of 10127780 in words is "ten million, one hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38953 77906 155812 194765 389530 506389 779060 1012778 2025556 2531945 5063890 10127780