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400020693 = 31729307881
BaseRepresentation
bin10111110101111…
…101010011010101
31000212201011020020
4113311331103111
51304401130233
6103405455353
712625056042
oct2765752325
91025634206
10400020693
1119588a516
12b1b71559
1364b4ab47
143b1ac1c9
15251b99b3
hex17d7d4d5

400020693 has 32 divisors (see below), whose sum is σ = 586776960. Its totient is φ = 241274880.

The previous prime is 400020689. The next prime is 400020697. The reversal of 400020693 is 396020004.

It is an interprime number because it is at equal distance from previous prime (400020689) and next prime (400020697).

It is not a de Polignac number, because 400020693 - 22 = 400020689 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400020697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453613 + ... + 454493.

It is an arithmetic number, because the mean of its divisors is an integer number (18336780).

Almost surely, 2400020693 is an apocalyptic number.

It is an amenable number.

400020693 is a deficient number, since it is larger than the sum of its proper divisors (186756267).

400020693 is a wasteful number, since it uses less digits than its factorization.

400020693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 400020693 is about 20000.5173183095. The cubic root of 400020693 is about 736.8190051196.

Adding to 400020693 its reverse (396020004), we get a palindrome (796040697).

The spelling of 400020693 in words is "four hundred million, twenty thousand, six hundred ninety-three".

Divisors: 1 3 17 29 51 87 307 493 881 921 1479 2643 5219 8903 14977 15657 25549 26709 44931 76647 151351 270467 434333 454053 811401 1302999 4597939 7843543 13793817 23530629 133340231 400020693