Search a number
-
+
8000040 = 2335163409
BaseRepresentation
bin11110100001001000101000
3120001102222210
4132201020220
54022000130
6443245120
7124666506
oct36411050
916042883
108000040
114574604
1228197a0
131871469
1410c3676
15a805b0
hex7a1228

8000040 has 64 divisors (see below), whose sum is σ = 24206400. Its totient is φ = 2115072.

The previous prime is 8000033. The next prime is 8000051. The reversal of 8000040 is 400008.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 19356 + ... + 19764.

It is an arithmetic number, because the mean of its divisors is an integer number (378225).

Almost surely, 28000040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103200).

8000040 is an abundant number, since it is smaller than the sum of its proper divisors (16206360).

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

8000040 is a wasteful number, since it uses less digits than its factorization.

8000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8000040 is about 2828.4341958052. The cubic root of 8000040 is about 200.0003333328. Note that the first 3 decimals are identical.

Subtracting from 8000040 its product of nonzero digits (32), we obtain a palindrome (8000008).

Adding to 8000040 its reverse (400008), we get a palindrome (8400048).

It can be divided in two parts, 80000 and 40, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 8000040 in words is "eight million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 409 489 652 815 818 978 1227 1304 1630 1636 1956 2045 2445 2454 3260 3272 3912 4090 4890 4908 6135 6520 8180 9780 9816 12270 16360 19560 24540 49080 66667 133334 200001 266668 333335 400002 533336 666670 800004 1000005 1333340 1600008 2000010 2666680 4000020 8000040