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11393360 = 245113107
BaseRepresentation
bin101011011101…
…100101010000
3210102211202022
4223131211100
510404041420
61044111012
7165561536
oct53354520
923384668
1011393360
116482000
123995468
13248bb44
141728156
151000c25
hexadd950

11393360 has 80 divisors (see below), whose sum is σ = 29408832. Its totient is φ = 4104320.

The previous prime is 11393359. The next prime is 11393363. The reversal of 11393360 is 6339311.

11393360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393363) 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, 106427 + ... + 106533.

Almost surely, 211393360 is an apocalyptic number.

11393360 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 11393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704416).

11393360 is an abundant number, since it is smaller than the sum of its proper divisors (18015472).

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

11393360 is a wasteful number, since it uses less digits than its factorization.

11393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 11393360 is about 3375.4051608659. The cubic root of 11393360 is about 225.0180067893.

The spelling of 11393360 in words is "eleven million, three hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 121 176 214 220 242 428 440 484 535 605 856 880 968 1070 1177 1210 1331 1712 1936 2140 2354 2420 2662 4280 4708 4840 5324 5885 6655 8560 9416 9680 10648 11770 12947 13310 18832 21296 23540 25894 26620 47080 51788 53240 64735 94160 103576 106480 129470 142417 207152 258940 284834 517880 569668 712085 1035760 1139336 1424170 2278672 2848340 5696680 11393360