Search a number
-
+
5001000 = 233531667
BaseRepresentation
bin10011000100111100101000
3100102002002020
4103010330220
52240013000
6255104440
760336114
oct23047450
910362066
105001000
112906364
121812120
131061394
14942744
1568bba0
hex4c4f28

5001000 has 64 divisors (see below), whose sum is σ = 15612480. Its totient is φ = 1332800.

The previous prime is 5000993. The next prime is 5001001. The reversal of 5001000 is 1005.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5001000.

It is not an unprimeable number, because it can be changed into a prime (5001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 3833.

It is an arithmetic number, because the mean of its divisors is an integer number (243945).

Almost surely, 25001000 is an apocalyptic number.

5001000 is a gapful number since it is divisible by the number (50) 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 5001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806240).

5001000 is an abundant number, since it is smaller than the sum of its proper divisors (10611480).

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

5001000 is a wasteful number, since it uses less digits than its factorization.

5001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 5001000 is about 2236.2915731183. The cubic root of 5001000 is about 171.0089937474.

Adding to 5001000 its reverse (1005), we get a palindrome (5002005).

The spelling of 5001000 in words is "five million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1667 3000 3334 5001 6668 8335 10002 13336 16670 20004 25005 33340 40008 41675 50010 66680 83350 100020 125025 166700 200040 208375 250050 333400 416750 500100 625125 833500 1000200 1250250 1667000 2500500 5001000