Search a number
-
+
1140192 = 253237107
BaseRepresentation
bin100010110010111100000
32010221001100
410112113200
5242441232
640234400
712456114
oct4262740
92127040
101140192
11709709
1246ba00
1330bc91
14219744
15177c7c
hex1165e0

1140192 has 72 divisors (see below), whose sum is σ = 3361176. Its totient is φ = 366336.

The previous prime is 1140163. The next prime is 1140197. The reversal of 1140192 is 2910411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140197) 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, 10603 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

21140192 is an apocalyptic number.

1140192 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 1140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588).

1140192 is an abundant number, since it is smaller than the sum of its proper divisors (2220984).

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

1140192 is a wasteful number, since it uses less digits than its factorization.

1140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1140192 is about 1067.7977336556. The cubic root of 1140192 is about 104.4702570207.

The spelling of 1140192 in words is "one million, one hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 107 111 144 148 214 222 288 296 321 333 428 444 592 642 666 856 888 963 1184 1284 1332 1712 1776 1926 2568 2664 3424 3552 3852 3959 5136 5328 7704 7918 10272 10656 11877 15408 15836 23754 30816 31672 35631 47508 63344 71262 95016 126688 142524 190032 285048 380064 570096 1140192