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1029340 = 2251337107
BaseRepresentation
bin11111011010011011100
31221021222201
43323103130
5230414330
634021244
711514664
oct3732334
91837881
101029340
116433a4
12417824
132a06a0
141cb1a4
15154eca
hexfb4dc

1029340 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 366336.

The previous prime is 1029337. The next prime is 1029341. The reversal of 1029340 is 439201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9567 + ... + 9673.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

21029340 is an apocalyptic number.

1029340 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 1029340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

1029340 is an abundant number, since it is smaller than the sum of its proper divisors (1383812).

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

1029340 is a wasteful number, since it uses less digits than its factorization.

1029340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1029340 is about 1014.5639457422. The cubic root of 1029340 is about 100.9685880815.

It can be divided in two parts, 1029 and 340, that added together give a square (1369 = 372).

The spelling of 1029340 in words is "one million, twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 107 130 148 185 214 260 370 428 481 535 740 962 1070 1391 1924 2140 2405 2782 3959 4810 5564 6955 7918 9620 13910 15836 19795 27820 39590 51467 79180 102934 205868 257335 514670 1029340