Search a number
-
+
11141928 = 233377369
BaseRepresentation
bin101010100000…
…001100101000
3202222001212000
4222200030220
510323020203
61034451000
7163463520
oct52401450
922861760
1011141928
116320106
123893a60
132401575
1416a0680
15ea14a3
hexaa0328

11141928 has 64 divisors (see below), whose sum is σ = 35376000. Its totient is φ = 3182976.

The previous prime is 11141891. The next prime is 11141929. The reversal of 11141928 is 82914111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11141929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2173 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (552750).

Almost surely, 211141928 is an apocalyptic number.

11141928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11141928 is an abundant number, since it is smaller than the sum of its proper divisors (24234072).

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

11141928 is a wasteful number, since it uses less digits than its factorization.

11141928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7381 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11141928 is about 3337.9526659316. The cubic root of 11141928 is about 223.3504246715.

The spelling of 11141928 in words is "eleven million, one hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7369 14738 22107 29476 44214 51583 58952 66321 88428 103166 132642 154749 176856 198963 206332 265284 309498 397926 412664 464247 530568 618996 795852 928494 1237992 1392741 1591704 1856988 2785482 3713976 5570964 11141928