Search a number
-
+
1985076 = 223267823
BaseRepresentation
bin111100100101000110100
310201212000100
413210220310
51002010301
6110314100
722605252
oct7445064
93655010
101985076
111136465
127b8930
13546702
143995d2
15293286
hex1e4a34

1985076 has 36 divisors (see below), whose sum is σ = 5098912. Its totient is φ = 651024.

The previous prime is 1985057. The next prime is 1985077. The reversal of 1985076 is 6705891.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1985076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985077) 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, 2001 + ... + 2823.

21985076 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 1985076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549456).

1985076 is an abundant number, since it is smaller than the sum of its proper divisors (3113836).

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

1985076 is a wasteful number, since it uses less digits than its factorization.

1985076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1985076 is about 1408.9272514931. The cubic root of 1985076 is about 125.6779378881.

The spelling of 1985076 in words is "one million, nine hundred eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 823 1206 1646 2412 2469 3292 4938 7407 9876 14814 29628 55141 110282 165423 220564 330846 496269 661692 992538 1985076