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11396880 = 24325111439
BaseRepresentation
bin101011011110…
…011100010000
3210110000120200
4223132130100
510404200010
61044135200
7165605025
oct53363420
923400520
1011396880
116484710
123997500
132490621
14172954c
151001cc0
hexade710

11396880 has 120 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 2760960.

The previous prime is 11396873. The next prime is 11396899. The reversal of 11396880 is 8869311.

11396880 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 tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7201 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 211396880 is an apocalyptic number.

11396880 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 11396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

11396880 is an abundant number, since it is smaller than the sum of its proper divisors (30386160).

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

11396880 is a wasteful number, since it uses less digits than its factorization.

11396880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11396880 is about 3375.9265394851. The cubic root of 11396880 is about 225.0411776487.

The spelling of 11396880 in words is "eleven million, three hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1439 1584 1980 2640 2878 3960 4317 5756 7195 7920 8634 11512 12951 14390 15829 17268 21585 23024 25902 28780 31658 34536 43170 47487 51804 57560 63316 64755 69072 79145 86340 94974 103608 115120 126632 129510 142461 158290 172680 189948 207216 237435 253264 259020 284922 316580 345360 379896 474870 518040 569844 633160 712305 759792 949740 1036080 1139688 1266320 1424610 1899480 2279376 2849220 3798960 5698440 11396880