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1041680 = 24529449
BaseRepresentation
bin11111110010100010000
31221220220202
43332110100
5231313210
634154332
711565653
oct3762420
91856822
101041680
116516a2
124229a8
132a61a3
141d189a
151589a5
hexfe510

1041680 has 40 divisors (see below), whose sum is σ = 2511000. Its totient is φ = 401408.

The previous prime is 1041673. The next prime is 1041701. The reversal of 1041680 is 861401.

1041680 = T643 + T644 + ... + T647.

1041680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150544 + 891136 = 388^2 + 944^2 .

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 (20).

It is a nialpdrome in base 16.

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, 2096 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

21041680 is an apocalyptic number.

1041680 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 1041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255500).

1041680 is an abundant number, since it is smaller than the sum of its proper divisors (1469320).

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

1041680 is a wasteful number, since it uses less digits than its factorization.

1041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1041680 is about 1020.6272581114. The cubic root of 1041680 is about 101.3704657699.

The spelling of 1041680 in words is "one million, forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 449 464 580 898 1160 1796 2245 2320 3592 4490 7184 8980 13021 17960 26042 35920 52084 65105 104168 130210 208336 260420 520840 1041680