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400020705 = 32571269907
BaseRepresentation
bin10111110101111…
…101010011100001
31000212201011020200
4113311331103201
51304401130310
6103405455413
712625056060
oct2765752341
91025634220
10400020705
1119588a527
12b1b71569
1364b4ab56
143b1ac1d7
15251b99c0
hex17d7d4e1

400020705 has 24 divisors (see below), whose sum is σ = 792422592. Its totient is φ = 182866464.

The previous prime is 400020697. The next prime is 400020721. The reversal of 400020705 is 507020004.

It is a happy number.

It is not a de Polignac number, because 400020705 - 23 = 400020697 is a prime.

It is a super-3 number, since 3×4000207053 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634639 + ... + 635268.

It is an arithmetic number, because the mean of its divisors is an integer number (33017608).

Almost surely, 2400020705 is an apocalyptic number.

400020705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400020705 is a deficient number, since it is larger than the sum of its proper divisors (392401887).

400020705 is a wasteful number, since it uses less digits than its factorization.

400020705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269925 (or 1269922 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 400020705 is about 20000.5176183018. The cubic root of 400020705 is about 736.8190124874.

Adding to 400020705 its reverse (507020004), we get a palindrome (907040709).

The spelling of 400020705 in words is "four hundred million, twenty thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1269907 3809721 6349535 8889349 11429163 19048605 26668047 44446745 57145815 80004141 133340235 400020705