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11332720 = 2457459
BaseRepresentation
bin101011001110…
…110001110000
3210022202120101
4223032301300
510400121340
61042522144
7165220000
oct53166160
923282511
1011332720
116440493
123966354
13246a369
141710000
15edcc9a
hexacec70

11332720 has 100 divisors (see below), whose sum is σ = 31259160. Its totient is φ = 3819648.

The previous prime is 11332709. The next prime is 11332723. The reversal of 11332720 is 2723311.

11332720 is digitally balanced in base 2, because in such base 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 (11332723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 192051 + ... + 192109.

Almost surely, 211332720 is an apocalyptic number.

11332720 is a gapful number since it is divisible by the number (10) 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 11332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629580).

11332720 is an abundant number, since it is smaller than the sum of its proper divisors (19926440).

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

11332720 is an frugal number, since it uses more digits than its factorization.

11332720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 11332720 is about 3366.4105513143. The cubic root of 11332720 is about 224.6180846132.

The spelling of 11332720 in words is "eleven million, three hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 59 70 80 98 112 118 140 196 236 245 280 295 343 392 413 472 490 560 590 686 784 826 944 980 1180 1372 1652 1715 1960 2065 2360 2401 2744 2891 3304 3430 3920 4130 4720 4802 5488 5782 6608 6860 8260 9604 11564 12005 13720 14455 16520 19208 20237 23128 24010 27440 28910 33040 38416 40474 46256 48020 57820 80948 96040 101185 115640 141659 161896 192080 202370 231280 283318 323792 404740 566636 708295 809480 1133272 1416590 1618960 2266544 2833180 5666360 11332720