[go: up one dir, main page]

Search a number
-
+
401685040 = 24534914387
BaseRepresentation
bin10111111100010…
…011101000110000
31000222211201021201
4113330103220300
51310312410130
6103505300544
712645160261
oct2774235060
91028751251
10401685040
11196816a09
12b2634754
13652b1573
143b4c2968
15253e7bca
hex17f13a30

401685040 has 40 divisors (see below), whose sum is σ = 936658800. Its totient is φ = 160202496.

The previous prime is 401685029. The next prime is 401685047. The reversal of 401685040 is 40586104.

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

It is a super-2 number, since 2×4016850402 = 322701742719603200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401685047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20727 + ... + 35113.

It is an arithmetic number, because the mean of its divisors is an integer number (23416470).

Almost surely, 2401685040 is an apocalyptic number.

401685040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401685040 is an abundant number, since it is smaller than the sum of its proper divisors (534973760).

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

401685040 is a wasteful number, since it uses less digits than its factorization.

401685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 401685040 is about 20042.0817282038. The cubic root of 401685040 is about 737.8394737065.

The spelling of 401685040 in words is "four hundred one million, six hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 13960 14387 27920 28774 57548 71935 115096 143870 230192 287740 575480 1150960 5021063 10042126 20084252 25105315 40168504 50210630 80337008 100421260 200842520 401685040