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128457405 = 3252854609
BaseRepresentation
bin1111010100000…
…01101010111101
322221201022102200
413222001222331
5230341114110
620425142113
73116604246
oct752015275
9287638380
10128457405
1166568a4a
123702a939
13207c85cb
14130bbccd
15b4266c0
hex7a81abd

128457405 has 12 divisors (see below), whose sum is σ = 222659580. Its totient is φ = 68510592.

The previous prime is 128457403. The next prime is 128457449. The reversal of 128457405 is 504754821.

128457405 is a `hidden beast` number, since 1 + 2 + 84 + 574 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16499844 + 111957561 = 4062^2 + 10581^2 .

It is not a de Polignac number, because 128457405 - 21 = 128457403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 128457405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128457401) 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, 1427260 + ... + 1427349.

It is an arithmetic number, because the mean of its divisors is an integer number (18554965).

Almost surely, 2128457405 is an apocalyptic number.

128457405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128457405 is a deficient number, since it is larger than the sum of its proper divisors (94202175).

128457405 is a wasteful number, since it uses less digits than its factorization.

128457405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854620 (or 2854617 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 128457405 is about 11333.9051081258. The cubic root of 128457405 is about 504.5680127595.

The spelling of 128457405 in words is "one hundred twenty-eight million, four hundred fifty-seven thousand, four hundred five".

Divisors: 1 3 5 9 15 45 2854609 8563827 14273045 25691481 42819135 128457405