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128464 = 2473137
BaseRepresentation
bin11111010111010000
320112012221
4133113100
513102324
62430424
71043350
oct372720
9215187
10128464
1188576
1262414
134661b
1434b60
15280e4
hex1f5d0

128464 has 40 divisors (see below), whose sum is σ = 301568. Its totient is φ = 51840.

The previous prime is 128461. The next prime is 128467. The reversal of 128464 is 464821.

It is an interprime number because it is at equal distance from previous prime (128461) and next prime (128467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128461) 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, 3454 + ... + 3490.

2128464 is an apocalyptic number.

128464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150784).

128464 is an abundant number, since it is smaller than the sum of its proper divisors (173104).

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

128464 is a wasteful number, since it uses less digits than its factorization.

128464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 128464 is about 358.4187495096. The cubic root of 128464 is about 50.4576647448.

The spelling of 128464 in words is "one hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 248 259 296 434 496 518 592 868 1036 1147 1736 2072 2294 3472 4144 4588 8029 9176 16058 18352 32116 64232 128464