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3869136 = 243297277
BaseRepresentation
bin1110110000100111010000
321021120110100
432300213100
51442303021
6214532400
744613165
oct16604720
97246410
103869136
112202a37
121367100
13a5613b
1472a06c
15516626
hex3b09d0

3869136 has 60 divisors (see below), whose sum is σ = 10979332. Its totient is φ = 1271808.

The previous prime is 3869123. The next prime is 3869153. The reversal of 3869136 is 6319683.

It is a happy number.

3869136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 2702736 = 1080^2 + 1644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 311 + 87 + 63 + 92 + 1 + 313 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 3869136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13830 + ... + 14106.

Almost surely, 23869136 is an apocalyptic number.

3869136 is a gapful number since it is divisible by the number (36) 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 3869136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489666).

3869136 is an abundant number, since it is smaller than the sum of its proper divisors (7110196).

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

3869136 is a wasteful number, since it uses less digits than its factorization.

3869136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3869136 is about 1967.0119470913. The cubic root of 3869136 is about 156.9897622707.

It can be divided in two parts, 3869 and 136, that added together give a triangular number (4005 = T89).

The spelling of 3869136 in words is "three million, eight hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 277 291 388 554 582 776 831 873 1108 1164 1552 1662 1746 2216 2328 2493 3324 3492 4432 4656 4986 6648 6984 9972 13296 13968 19944 26869 39888 53738 80607 107476 161214 214952 241821 322428 429904 483642 644856 967284 1289712 1934568 3869136