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11411840 = 275111621
BaseRepresentation
bin101011100010…
…000110000000
3210110210002202
4223202012000
510410134330
61044332332
7165666446
oct53420600
923423082
1011411840
116494980
1239a40a8
13249738b
141730b96
151006445
hexae2180

11411840 has 64 divisors (see below), whose sum is σ = 29779920. Its totient is φ = 4147200.

The previous prime is 11411821. The next prime is 11411849. The reversal of 11411840 is 4811411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6230 + ... + 7850.

Almost surely, 211411840 is an apocalyptic number.

11411840 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 11411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889960).

11411840 is an abundant number, since it is smaller than the sum of its proper divisors (18368080).

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

11411840 is a wasteful number, since it uses less digits than its factorization.

11411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 11411840 is about 3378.1415008848. The cubic root of 11411840 is about 225.1396006101.

The spelling of 11411840 in words is "eleven million, four hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1621 1760 3242 3520 6484 7040 8105 12968 16210 17831 25936 32420 35662 51872 64840 71324 89155 103744 129680 142648 178310 207488 259360 285296 356620 518720 570592 713240 1037440 1141184 1426480 2282368 2852960 5705920 11411840