Search a number
-
+
11903472 = 243273241
BaseRepresentation
bin101101011010…
…000111110000
3211101202111100
4231122013300
511021402342
61103044400
7203115000
oct55320760
924352440
1011903472
1167a0289
123ba0700
13260a099
14181c000
1510a1e4c
hexb5a1f0

11903472 has 120 divisors (see below), whose sum is σ = 39010400. Its totient is φ = 3386880.

The previous prime is 11903471. The next prime is 11903491. The reversal of 11903472 is 27430911.

11903472 is a `hidden beast` number, since 1 + 190 + 3 + 472 = 666.

11903472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11903471) 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, 49272 + ... + 49512.

Almost surely, 211903472 is an apocalyptic number.

11903472 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 11903472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19505200).

11903472 is an abundant number, since it is smaller than the sum of its proper divisors (27106928).

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

11903472 is a wasteful number, since it uses less digits than its factorization.

11903472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11903472 is about 3450.1408666894. The cubic root of 11903472 is about 228.3273230284.

The spelling of 11903472 in words is "eleven million, nine hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 241 252 294 336 343 392 441 482 504 588 686 723 784 882 964 1008 1029 1176 1372 1446 1687 1764 1928 2058 2169 2352 2744 2892 3087 3374 3528 3856 4116 4338 5061 5488 5784 6174 6748 7056 8232 8676 10122 11568 11809 12348 13496 15183 16464 17352 20244 23618 24696 26992 30366 34704 35427 40488 47236 49392 60732 70854 80976 82663 94472 106281 121464 141708 165326 188944 212562 242928 247989 283416 330652 425124 495978 566832 661304 743967 850248 991956 1322608 1487934 1700496 1983912 2975868 3967824 5951736 11903472