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10128340 = 225506417
BaseRepresentation
bin100110101000…
…101111010100
3201001120110201
4212220233110
510043101330
61001030244
7152042455
oct46505724
921046421
1010128340
115798632
123485384
132138101
1414b912c
15d50eca
hex9a8bd4

10128340 has 12 divisors (see below), whose sum is σ = 21269556. Its totient is φ = 4051328.

The previous prime is 10128319. The next prime is 10128341. The reversal of 10128340 is 4382101.

10128340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 8773444 = 1164^2 + 2962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253189 + ... + 253228.

It is an arithmetic number, because the mean of its divisors is an integer number (1772463).

Almost surely, 210128340 is an apocalyptic number.

10128340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128340 is an abundant number, since it is smaller than the sum of its proper divisors (11141216).

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

10128340 is a wasteful number, since it uses less digits than its factorization.

10128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506426 (or 506424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10128340 is about 3182.5053024308. The cubic root of 10128340 is about 216.3612211460.

It can be divided in two parts, 101 and 28340, that added together give a triangular number (28441 = T238).

The spelling of 10128340 in words is "ten million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 506417 1012834 2025668 2532085 5064170 10128340