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11992320 = 28335347
BaseRepresentation
bin101101101111…
…110100000000
3211120021101000
4231233310000
511032223240
61105012000
7203635014
oct55576400
924507330
1011992320
11685100a
124024000
13263b662
141842544
1510bd430
hexb6fd00

11992320 has 144 divisors (see below), whose sum is σ = 42678720. Its totient is φ = 3188736.

The previous prime is 11992297. The next prime is 11992339. The reversal of 11992320 is 2329911.

11992320 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34387 + ... + 34733.

It is an arithmetic number, because the mean of its divisors is an integer number (296380).

Almost surely, 211992320 is an apocalyptic number.

11992320 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 11992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339360).

11992320 is an abundant number, since it is smaller than the sum of its proper divisors (30686400).

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

11992320 is an equidigital number, since it uses as much as digits as its factorization.

11992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11992320 is about 3462.9929252021. The cubic root of 11992320 is about 228.8939969465.

The spelling of 11992320 in words is "eleven million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 347 360 384 432 480 540 576 640 694 720 768 864 960 1041 1080 1152 1280 1388 1440 1728 1735 1920 2082 2160 2304 2776 2880 3123 3456 3470 3840 4164 4320 5205 5552 5760 6246 6912 6940 8328 8640 9369 10410 11104 11520 12492 13880 15615 16656 17280 18738 20820 22208 24984 27760 31230 33312 34560 37476 41640 44416 46845 49968 55520 62460 66624 74952 83280 88832 93690 99936 111040 124920 133248 149904 166560 187380 199872 222080 249840 266496 299808 333120 374760 399744 444160 499680 599616 666240 749520 799488 999360 1199232 1332480 1499040 1998720 2398464 2998080 3997440 5996160 11992320