Search a number
-
+
10940928 = 29317419
BaseRepresentation
bin101001101111…
…001000000000
3202120212010120
4221233020000
510300102203
61030300240
7161665515
oct51571000
922525116
1010940928
1161a3099
1237b7680
132360c2b
14164b30c
15e61b53
hexa6f200

10940928 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3424256.

The previous prime is 10940927. The next prime is 10940929. The reversal of 10940928 is 82904901.

It is an interprime number because it is at equal distance from previous prime (10940927) and next prime (10940929).

It is not an unprimeable number, because it can be changed into a prime (10940927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25903 + ... + 26321.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 210940928 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 10940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10940928 is an abundant number, since it is smaller than the sum of its proper divisors (19994592).

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

10940928 is an equidigital number, since it uses as much as digits as its factorization.

10940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 10940928 is about 3307.7073631142. The cubic root of 10940928 is about 221.9991883746. Note that the first 3 decimals are identical.

The spelling of 10940928 in words is "ten million, nine hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 419 512 544 768 816 838 1088 1257 1536 1632 1676 2176 2514 3264 3352 4352 5028 6528 6704 7123 8704 10056 13056 13408 14246 20112 21369 26112 26816 28492 40224 42738 53632 56984 80448 85476 107264 113968 160896 170952 214528 227936 321792 341904 455872 643584 683808 911744 1367616 1823488 2735232 3646976 5470464 10940928