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1985364 = 223331593
BaseRepresentation
bin111100100101101010100
310201212102000
413210231110
51002012424
6110315300
722606143
oct7445524
93655360
101985364
1111366a7
127b8b30
13546894
1439975a
152933c9
hex1e4b54

1985364 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 639360.

The previous prime is 1985363. The next prime is 1985377. The reversal of 1985364 is 4635891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

21985364 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 1985364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

1985364 is an abundant number, since it is smaller than the sum of its proper divisors (3336876).

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

1985364 is a wasteful number, since it uses less digits than its factorization.

1985364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1985364 is about 1409.0294532053. The cubic root of 1985364 is about 125.6840154884.

The spelling of 1985364 in words is "one million, nine hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 593 837 1116 1186 1674 1779 2372 3348 3558 5337 7116 10674 16011 18383 21348 32022 36766 55149 64044 73532 110298 165447 220596 330894 496341 661788 992682 1985364