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1988136 = 233253521
BaseRepresentation
bin111100101011000101000
310202000012200
413211120220
51002110021
6110340200
722620213
oct7453050
93660180
101988136
111138797
127ba660
13547c17
1439a77a
15294126
hex1e5628

1988136 has 48 divisors (see below), whose sum is σ = 5496660. Its totient is φ = 648960.

The previous prime is 1988113. The next prime is 1988137. The reversal of 1988136 is 6318891.

It can be written as a sum of positive squares in 2 ways, for example, as 1988100 + 36 = 1410^2 + 6^2 .

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 self number, because there is not a number n which added to its sum of digits gives 1988136.

It is not an unprimeable number, because it can be changed into a prime (1988137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3556 + ... + 4076.

21988136 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 1988136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748330).

1988136 is an abundant number, since it is smaller than the sum of its proper divisors (3508524).

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

1988136 is a wasteful number, since it uses less digits than its factorization.

1988136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1988136 is about 1410.0127658997. The cubic root of 1988136 is about 125.7424823608.

Subtracting from 1988136 its sum of digits (36), we obtain a square (1988100 = 14102).

It can be divided in two parts, 19881 and 36, that multiplied together give a square (715716 = 8462).

The spelling of 1988136 in words is "one million, nine hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 521 636 954 1042 1272 1563 1908 2084 3126 3816 4168 4689 6252 9378 12504 18756 27613 37512 55226 82839 110452 165678 220904 248517 331356 497034 662712 994068 1988136