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400040720 = 24524120749
BaseRepresentation
bin10111110110000…
…010001100010000
31000212202011200222
4113312002030100
51304402300340
6103410132212
712625201322
oct2766021420
91025664628
10400040720
111958a3572
12b1b81068
1364b56cb1
143b1b5612
15251c08b5
hex17d82310

400040720 has 40 divisors (see below), whose sum is σ = 933999000. Its totient is φ = 159344640.

The previous prime is 400040717. The next prime is 400040741. The reversal of 400040720 is 27040004.

It can be written as a sum of positive squares in 4 ways, for example, as 8317456 + 391723264 = 2884^2 + 19792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 8906 + ... + 29654.

It is an arithmetic number, because the mean of its divisors is an integer number (23349975).

Almost surely, 2400040720 is an apocalyptic number.

400040720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400040720 is an abundant number, since it is smaller than the sum of its proper divisors (533958280).

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

400040720 is a wasteful number, since it uses less digits than its factorization.

400040720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21003 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 400040720 is about 20001.0179740932. The cubic root of 400040720 is about 736.8313011735.

Adding to 400040720 its reverse (27040004), we get a palindrome (427080724).

The spelling of 400040720 in words is "four hundred million, forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 20749 41498 82996 103745 165992 207490 331984 414980 829960 1659920 5000509 10001018 20002036 25002545 40004072 50005090 80008144 100010180 200020360 400040720