Search a number
-
+
1896192 = 2832823
BaseRepresentation
bin111001110111100000000
310120100002100
413032330000
5441134232
6104350400
722055154
oct7167400
93510070
101896192
111085701
12775400
1351510c
14375064
15276c7c
hex1cef00

1896192 has 54 divisors (see below), whose sum is σ = 5473832. Its totient is φ = 631296.

The previous prime is 1896173. The next prime is 1896199. The reversal of 1896192 is 2916981.

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 nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1893 + ... + 2715.

21896192 is an apocalyptic number.

1896192 is a gapful number since it is divisible by the number (12) 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 1896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736916).

1896192 is an abundant number, since it is smaller than the sum of its proper divisors (3577640).

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

1896192 is an equidigital number, since it uses as much as digits as its factorization.

1896192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1896192 is about 1377.0228756270. The cubic root of 1896192 is about 123.7734329669.

The spelling of 1896192 in words is "one million, eight hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 823 1152 1646 2304 2469 3292 4938 6584 7407 9876 13168 14814 19752 26336 29628 39504 52672 59256 79008 105344 118512 158016 210688 237024 316032 474048 632064 948096 1896192