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11790072 = 23327149157
BaseRepresentation
bin101100111110…
…011011111000
3211011222221100
4230332123320
511004240242
61100411400
7202133250
oct54763370
924158840
1011790072
116723068
123b46b60
13259a598
1417cc960
15107d54c
hexb3e6f8

11790072 has 96 divisors (see below), whose sum is σ = 36972000. Its totient is φ = 3324672.

The previous prime is 11790049. The next prime is 11790073. The reversal of 11790072 is 27009711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75018 + ... + 75174.

It is an arithmetic number, because the mean of its divisors is an integer number (385125).

Almost surely, 211790072 is an apocalyptic number.

11790072 is a gapful number since it is divisible by the number (12) 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 11790072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486000).

11790072 is an abundant number, since it is smaller than the sum of its proper divisors (25181928).

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

11790072 is a wasteful number, since it uses less digits than its factorization.

11790072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11790072 is about 3433.6674271106. The cubic root of 11790072 is about 227.5999448152.

Adding to 11790072 its reverse (27009711), we get a palindrome (38799783).

The spelling of 11790072 in words is "eleven million, seven hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 157 168 252 298 314 447 471 504 596 628 894 942 1043 1099 1192 1256 1341 1413 1788 1884 2086 2198 2682 2826 3129 3297 3576 3768 4172 4396 5364 5652 6258 6594 8344 8792 9387 9891 10728 11304 12516 13188 18774 19782 23393 25032 26376 37548 39564 46786 70179 75096 79128 93572 140358 163751 187144 210537 280716 327502 421074 491253 561432 655004 842148 982506 1310008 1473759 1684296 1965012 2947518 3930024 5895036 11790072