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1026640 = 24541313
BaseRepresentation
bin11111010101001010000
31221011021201
43322221100
5230323030
634000544
711504056
oct3725120
91834251
101026640
1164136a
12416154
1329c3a4
141ca1d6
151542ca
hexfaa50

1026640 has 40 divisors (see below), whose sum is σ = 2452968. Its totient is φ = 399360.

The previous prime is 1026593. The next prime is 1026661. The reversal of 1026640 is 466201.

1026640 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 4 ways, for example, as 97344 + 929296 = 312^2 + 964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124 + ... + 3436.

21026640 is an apocalyptic number.

1026640 is a gapful number since it is divisible by the number (10) 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 1026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226484).

1026640 is an abundant number, since it is smaller than the sum of its proper divisors (1426328).

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

1026640 is a wasteful number, since it uses less digits than its factorization.

1026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1026640 is about 1013.2324511187. The cubic root of 1026640 is about 100.8802292315.

The spelling of 1026640 in words is "one million, twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 313 328 410 626 656 820 1252 1565 1640 2504 3130 3280 5008 6260 12520 12833 25040 25666 51332 64165 102664 128330 205328 256660 513320 1026640