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4000136 = 237611171
BaseRepresentation
bin1111010000100110001000
321112020011012
433100212020
52011001021
6221423052
746000130
oct17204610
97466135
104000136
1122923a8
12140aa88
13aa095a
14761ac0
1554035b
hex3d0988

4000136 has 32 divisors (see below), whose sum is σ = 8719680. Its totient is φ = 1684800.

The previous prime is 4000133. The next prime is 4000153. The reversal of 4000136 is 6310004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4000136.

It is not an unprimeable number, because it can be changed into a prime (4000133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2831 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (272490).

Almost surely, 24000136 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 4000136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359840).

4000136 is an abundant number, since it is smaller than the sum of its proper divisors (4719544).

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

4000136 is a wasteful number, since it uses less digits than its factorization.

4000136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4000136 is about 2000.0339997110. The cubic root of 4000136 is about 158.7419042310.

The spelling of 4000136 in words is "four million, one hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1171 1708 2342 3416 4684 8197 9368 16394 32788 65576 71431 142862 285724 500017 571448 1000034 2000068 4000136