Search a number
-
+
10723104 = 25357197
BaseRepresentation
bin101000111001…
…111100100000
3202011210100000
4220321330200
510221114404
61021500000
7160100460
oct50717440
922153300
1010723104
116064477
123711600
1322b5a42
1415d1ba0
15e1c339
hexa39f20

10723104 has 144 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3048192.

The previous prime is 10723091. The next prime is 10723109. The reversal of 10723104 is 40132701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107231042 = 229969918789632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10723109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54334 + ... + 54530.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 210723104 is an apocalyptic number.

10723104 is a gapful number since it is divisible by the number (14) 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 10723104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

10723104 is an abundant number, since it is smaller than the sum of its proper divisors (25601184).

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

10723104 is an equidigital number, since it uses as much as digits as its factorization.

10723104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10723104 is about 3274.6150918848. The cubic root of 10723104 is about 220.5160338195.

Adding to 10723104 its reverse (40132701), we get a palindrome (50855805).

The spelling of 10723104 in words is "ten million, seven hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 197 216 224 243 252 288 324 336 378 394 432 486 504 567 591 648 672 756 788 864 972 1008 1134 1182 1296 1379 1512 1576 1701 1773 1944 2016 2268 2364 2592 2758 3024 3152 3402 3546 3888 4137 4536 4728 5319 5516 6048 6304 6804 7092 7776 8274 9072 9456 10638 11032 12411 13608 14184 15957 16548 18144 18912 21276 22064 24822 27216 28368 31914 33096 37233 42552 44128 47871 49644 54432 56736 63828 66192 74466 85104 95742 99288 111699 127656 132384 148932 170208 191484 198576 223398 255312 297864 335097 382968 397152 446796 510624 595728 670194 765936 893592 1191456 1340388 1531872 1787184 2680776 3574368 5361552 10723104