Search a number
-
+
1136928 = 25313911
BaseRepresentation
bin100010101100100100000
32010202120110
410111210200
5242340203
640211320
712443442
oct4254440
92122513
101136928
11707211
12469b40
1330a650
14218492
15176d03
hex115920

1136928 has 48 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 349440.

The previous prime is 1136921. The next prime is 1136939. The reversal of 1136928 is 8296311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1136895 and 1136904.

It is not an unprimeable number, because it can be changed into a prime (1136921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

21136928 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 1136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1136928 is an abundant number, since it is smaller than the sum of its proper divisors (2080608).

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

1136928 is a wasteful number, since it uses less digits than its factorization.

1136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1136928 is about 1066.2682589292. The cubic root of 1136928 is about 104.3704735867.

The spelling of 1136928 in words is "one million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 911 1248 1822 2733 3644 5466 7288 10932 11843 14576 21864 23686 29152 35529 43728 47372 71058 87456 94744 142116 189488 284232 378976 568464 1136928