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400296040 = 23510007401
BaseRepresentation
bin10111110111000…
…000100001101000
31000220020010221021
4113313000201220
51304433433130
6103415422224
712630313564
oct2767004150
91026203837
10400296040
11195a58381
12b2084974
1364c16281
143b2406a4
152522137a
hex17dc0868

400296040 has 16 divisors (see below), whose sum is σ = 900666180. Its totient is φ = 160118400.

The previous prime is 400296037. The next prime is 400296107. The reversal of 400296040 is 40692004.

It can be written as a sum of positive squares in 2 ways, for example, as 349914436 + 50381604 = 18706^2 + 7098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400295996 and 400296014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5003661 + ... + 5003740.

Almost surely, 2400296040 is an apocalyptic number.

400296040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400296040 is an abundant number, since it is smaller than the sum of its proper divisors (500370140).

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

400296040 is a wasteful number, since it uses less digits than its factorization.

400296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007412 (or 10007408 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 400296040 is about 20007.3996311365. The cubic root of 400296040 is about 736.9880250180.

The spelling of 400296040 in words is "four hundred million, two hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10007401 20014802 40029604 50037005 80059208 100074010 200148020 400296040