Search a number
-
+
1000400 = 24524161
BaseRepresentation
bin11110100001111010000
31212211021212
43310033100
5224003100
633235252
711334422
oct3641720
91784255
101000400
11623685
12402b28
1329046b
141c0812
1514b635
hexf43d0

1000400 has 60 divisors (see below), whose sum is σ = 2502444. Its totient is φ = 384000.

The previous prime is 1000397. The next prime is 1000403. The reversal of 1000400 is 40001.

1000400 = T61 + T62 + ... + T183.

1000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000397) and next prime (1000403).

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 559504 = 664^2 + 748^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000403) 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, 16370 + ... + 16430.

21000400 is an apocalyptic number.

1000400 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 1000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251222).

1000400 is an abundant number, since it is smaller than the sum of its proper divisors (1502044).

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

1000400 is a wasteful number, since it uses less digits than its factorization.

1000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1000400 is about 1000.1999800040. The cubic root of 1000400 is about 100.0133315560.

Adding to 1000400 its reverse (40001), we get a palindrome (1040401).

The spelling of 1000400 in words is "one million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 61 80 82 100 122 164 200 205 244 305 328 400 410 488 610 656 820 976 1025 1220 1525 1640 2050 2440 2501 3050 3280 4100 4880 5002 6100 8200 10004 12200 12505 16400 20008 24400 25010 40016 50020 62525 100040 125050 200080 250100 500200 1000400