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1040400 = 243252172
BaseRepresentation
bin11111110000000010000
31221212011100
43332000100
5231243100
634144400
711562144
oct3760020
91855140
101040400
11650739
12422100
132a572a
141d1224
15158400
hexfe010

1040400 has 135 divisors (see below), whose sum is σ = 3835351. Its totient is φ = 261120.

The previous prime is 1040387. The next prime is 1040407. The reversal of 1040400 is 40401.

Multipling 1040400 by its product of nonzero digits (16), we get a square (16646400 = 40802).

1040400 divided by its product of nonzero digits (16) gives a square (65025 = 2552).

Adding to 1040400 its reverse (40401), we get a palindrome (1080801).

Subtracting from 1040400 its reverse (40401), we obtain a palindrome (999999).

Multipling 1040400 by its reverse (40401), we get a square (42033200400 = 2050202).

1040400 = T264 + T265 + ... + T290.

The square root of 1040400 is 1020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 1016064 = 156^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1040407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61192 + ... + 61208.

21040400 is an apocalyptic number.

1040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1040400 is the 1020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040400

1040400 is an abundant number, since it is smaller than the sum of its proper divisors (2794951).

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

1040400 is a wasteful number, since it uses less digits than its factorization.

1040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 1040400 is about 101.3289279402.

The spelling of 1040400 in words is "one million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 68 72 75 80 85 90 100 102 120 136 144 150 153 170 180 200 204 225 240 255 272 289 300 306 340 360 400 408 425 450 510 578 600 612 680 720 765 816 850 867 900 1020 1156 1200 1224 1275 1360 1445 1530 1700 1734 1800 2040 2312 2448 2550 2601 2890 3060 3400 3468 3600 3825 4080 4335 4624 5100 5202 5780 6120 6800 6936 7225 7650 8670 10200 10404 11560 12240 13005 13872 14450 15300 17340 20400 20808 21675 23120 26010 28900 30600 34680 41616 43350 52020 57800 61200 65025 69360 86700 104040 115600 130050 173400 208080 260100 346800 520200 1040400