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11423104 = 277111961
BaseRepresentation
bin101011100100…
…110110000000
3210111100112221
4223210312000
510411014404
61044500424
7166044340
oct53446600
923440487
1011423104
1164a2390
1239aa714
13249c544
141734d20
151009954
hexae4d80

11423104 has 128 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 4147200.

The previous prime is 11423101. The next prime is 11423107. The reversal of 11423104 is 40132411.

It is an interprime number because it is at equal distance from previous prime (11423101) and next prime (11423107).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11423101) 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, 187234 + ... + 187294.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 211423104 is an apocalyptic number.

11423104 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 11423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

11423104 is an abundant number, since it is smaller than the sum of its proper divisors (18932096).

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

11423104 is a wasteful number, since it uses less digits than its factorization.

11423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11423104 is about 3379.8082785862. The cubic root of 11423104 is about 225.2136505601.

Adding to 11423104 its reverse (40132411), we get a palindrome (51555515).

The spelling of 11423104 in words is "eleven million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 61 64 76 77 88 112 122 128 133 152 154 176 209 224 244 266 304 308 352 418 427 448 488 532 608 616 671 704 836 854 896 976 1064 1159 1216 1232 1342 1408 1463 1672 1708 1952 2128 2318 2432 2464 2684 2926 3344 3416 3904 4256 4636 4697 4928 5368 5852 6688 6832 7808 8113 8512 9272 9394 9856 10736 11704 12749 13376 13664 16226 17024 18544 18788 21472 23408 25498 26752 27328 32452 37088 37576 42944 46816 50996 54656 64904 74176 75152 85888 89243 93632 101992 129808 148352 150304 178486 187264 203984 259616 300608 356972 407968 519232 601216 713944 815936 1038464 1427888 1631872 2855776 5711552 11423104