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1041408 = 21032113
BaseRepresentation
bin11111110010000000000
31221220112200
43332100000
5231311113
634153200
711565114
oct3762000
91856480
101041408
11651475
12422800
132a6024
141d1744
15158873
hexfe400

1041408 has 66 divisors (see below), whose sum is σ = 3033654. Its totient is φ = 344064.

The previous prime is 1041373. The next prime is 1041421. The reversal of 1041408 is 8041401.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 451584 = 768^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9160 + ... + 9272.

21041408 is an apocalyptic number.

1041408 is a gapful number since it is divisible by the number (18) 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 1041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516827).

1041408 is an abundant number, since it is smaller than the sum of its proper divisors (1992246).

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

1041408 is a wasteful number, since it uses less digits than its factorization.

1041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1041408 is about 1020.4939980225. The cubic root of 1041408 is about 101.3616418294.

Adding to 1041408 its reverse (8041401), we get a palindrome (9082809).

The spelling of 1041408 in words is "one million, forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1024 1152 1356 1536 1808 2034 2304 2712 3072 3616 4068 4608 5424 7232 8136 9216 10848 14464 16272 21696 28928 32544 43392 57856 65088 86784 115712 130176 173568 260352 347136 520704 1041408