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2026000 = 24531013
BaseRepresentation
bin111101110101000010000
310210221011001
413232220100
51004313000
6111231344
723135464
oct7565020
93727131
102026000
111164189
12818554
1355c222
143aa4a4
152a046a
hex1eea10

2026000 has 40 divisors (see below), whose sum is σ = 4903704. Its totient is φ = 809600.

The previous prime is 2025979. The next prime is 2026021. The reversal of 2026000 is 6202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2025979) and next prime (2026021).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 1411344 = 784^2 + 1188^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1494 + ... + 2506.

22026000 is an apocalyptic number.

2026000 is a gapful number since it is divisible by the number (20) 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 2026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451852).

2026000 is an abundant number, since it is smaller than the sum of its proper divisors (2877704).

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

2026000 is a wasteful number, since it uses less digits than its factorization.

2026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2026000 is about 1423.3762678926. The cubic root of 2026000 is about 126.5357218660.

The spelling of 2026000 in words is "two million, twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1013 2000 2026 4052 5065 8104 10130 16208 20260 25325 40520 50650 81040 101300 126625 202600 253250 405200 506500 1013000 2026000