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5007000 = 233531669
BaseRepresentation
bin10011000110011010011000
3100102101022110
4103012122120
52240211000
6255152320
760362445
oct23063230
910371273
105007000
11290a919
1218156a0
13106402b
149449cc
1568d850
hex4c6698

5007000 has 64 divisors (see below), whose sum is σ = 15631200. Its totient is φ = 1334400.

The previous prime is 5006983. The next prime is 5007001. The reversal of 5007000 is 7005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007001) 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, 2166 + ... + 3834.

Almost surely, 25007000 is an apocalyptic number.

5007000 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 5007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815600).

5007000 is an abundant number, since it is smaller than the sum of its proper divisors (10624200).

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

5007000 is a wasteful number, since it uses less digits than its factorization.

5007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 5007000 is about 2237.6326776305. The cubic root of 5007000 is about 171.0773563346.

The spelling of 5007000 in words is "five million, seven 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 1669 3000 3338 5007 6676 8345 10014 13352 16690 20028 25035 33380 40056 41725 50070 66760 83450 100140 125175 166900 200280 208625 250350 333800 417250 500700 625875 834500 1001400 1251750 1669000 2503500 5007000