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4005990 = 233537401
BaseRepresentation
bin1111010010000001100110
321112112012000
433102001212
52011142430
6221510130
746023162
oct17220146
97475160
104005990
11229683a
121412346
13aa3511
14763ca2
15541e60
hex3d2066

4005990 has 64 divisors (see below), whose sum is σ = 10998720. Its totient is φ = 1036800.

The previous prime is 4005983. The next prime is 4006001. The reversal of 4005990 is 995004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9790 + ... + 10190.

It is an arithmetic number, because the mean of its divisors is an integer number (171855).

Almost surely, 24005990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499360).

4005990 is an abundant number, since it is smaller than the sum of its proper divisors (6992730).

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

4005990 is a wasteful number, since it uses less digits than its factorization.

4005990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 4005990 is about 2001.4969397928. The cubic root of 4005990 is about 158.8193034460.

The spelling of 4005990 in words is "four million, five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 401 555 666 802 999 1110 1203 1665 1998 2005 2406 3330 3609 4010 4995 6015 7218 9990 10827 12030 14837 18045 21654 29674 36090 44511 54135 74185 89022 108270 133533 148370 222555 267066 400599 445110 667665 801198 1335330 2002995 4005990