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1405040 = 245713193
BaseRepresentation
bin101010111000001110000
32122101100112
411113001300
5324430130
650040452
714641220
oct5270160
92571315
101405040
1187a69a
12579128
133a26b0
14288080
151cb495
hex157070

1405040 has 80 divisors (see below), whose sum is σ = 4041408. Its totient is φ = 442368.

The previous prime is 1405039. The next prime is 1405087. The reversal of 1405040 is 405041.

1405040 = T441 + T442 + ... + T454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7184 + ... + 7376.

21405040 is an apocalyptic number.

1405040 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 1405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020704).

1405040 is an abundant number, since it is smaller than the sum of its proper divisors (2636368).

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

1405040 is a wasteful number, since it uses less digits than its factorization.

1405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1405040 is about 1185.3438319745. The cubic root of 1405040 is about 112.0029761114.

Subtracting from 1405040 its reverse (405041), we obtain a palindrome (999999).

It can be divided in two parts, 140 and 5040, that multiplied together give a square (705600 = 8402).

The spelling of 1405040 in words is "one million, four hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 193 208 260 280 364 386 455 520 560 728 772 910 965 1040 1351 1456 1544 1820 1930 2509 2702 3088 3640 3860 5018 5404 6755 7280 7720 10036 10808 12545 13510 15440 17563 20072 21616 25090 27020 35126 40144 50180 54040 70252 87815 100360 108080 140504 175630 200720 281008 351260 702520 1405040