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40901000 = 235375843
BaseRepresentation
bin1001110000000…
…1100110001000
32211221222121212
42130001212020
540432313000
64020352252
71004436620
oct234014610
984858555
1040901000
11210a6588
1211845688
13862099a
145609880
1538cdc35
hex2701988

40901000 has 64 divisors (see below), whose sum is σ = 109399680. Its totient is φ = 14020800.

The previous prime is 40900999. The next prime is 40901011. The reversal of 40901000 is 10904.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4079 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (1709370).

Almost surely, 240901000 is an apocalyptic number.

40901000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54699840).

40901000 is an abundant number, since it is smaller than the sum of its proper divisors (68498680).

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

40901000 is a wasteful number, since it uses less digits than its factorization.

40901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 40901000 is about 6395.3889639333. The cubic root of 40901000 is about 344.5439609163.

Adding to 40901000 its reverse (10904), we get a palindrome (40911904).

The spelling of 40901000 in words is "forty million, nine hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 5843 7000 11686 23372 29215 40901 46744 58430 81802 116860 146075 163604 204505 233720 292150 327208 409010 584300 730375 818020 1022525 1168600 1460750 1636040 2045050 2921500 4090100 5112625 5843000 8180200 10225250 20450500 40901000