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400003040 = 2557693251
BaseRepresentation
bin10111110101111…
…000111111100000
31000212200021000102
4113311320333200
51304400044130
6103405241532
712624653423
oct2765707740
91025607012
10400003040
11195878228
12b1b632a8
1364b42ab8
143b1a59ba
15251b4645
hex17d78fe0

400003040 has 48 divisors (see below), whose sum is σ = 946527120. Its totient is φ = 159744000.

The previous prime is 400003033. The next prime is 400003063. The reversal of 400003040 is 40300004.

400003040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 121415 + ... + 124665.

It is an arithmetic number, because the mean of its divisors is an integer number (19719315).

Almost surely, 2400003040 is an apocalyptic number.

400003040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400003040 is an abundant number, since it is smaller than the sum of its proper divisors (546524080).

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

400003040 is a wasteful number, since it uses less digits than its factorization.

400003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 400003040 is about 20000.0759998556. The cubic root of 400003040 is about 736.8081662993.

Adding to 400003040 its reverse (40300004), we get a palindrome (440303044).

The spelling of 400003040 in words is "four hundred million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 769 1538 3076 3251 3845 6152 6502 7690 12304 13004 15380 16255 24608 26008 30760 32510 52016 61520 65020 104032 123040 130040 260080 520160 2500019 5000038 10000076 12500095 20000152 25000190 40000304 50000380 80000608 100000760 200001520 400003040