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11994400 = 2552112947
BaseRepresentation
bin101101110000…
…010100100000
3211120101020001
4231300110200
511032310100
61105025344
7203644045
oct55602440
924511201
1011994400
116852630
124025254
13263c5a2
1418431cc
1510bdd6a
hexb70520

11994400 has 144 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4121600.

The previous prime is 11994397. The next prime is 11994403. The reversal of 11994400 is 449911.

It is an interprime number because it is at equal distance from previous prime (11994397) and next prime (11994403).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11994403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255177 + ... + 255223.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 211994400 is an apocalyptic number.

11994400 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 11994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11994400 is an abundant number, since it is smaller than the sum of its proper divisors (21753440).

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

11994400 is a wasteful number, since it uses less digits than its factorization.

11994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11994400 is about 3463.2932304383. The cubic root of 11994400 is about 228.9072296374.

The spelling of 11994400 in words is "eleven million, nine hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 47 50 55 58 80 88 94 100 110 116 145 160 176 188 200 220 232 235 275 290 319 352 376 400 440 464 470 517 550 580 638 725 752 800 880 928 940 1034 1100 1160 1175 1276 1363 1450 1504 1595 1760 1880 2068 2200 2320 2350 2552 2585 2726 2900 3190 3760 4136 4400 4640 4700 5104 5170 5452 5800 6380 6815 7520 7975 8272 8800 9400 10208 10340 10904 11600 12760 12925 13630 14993 15950 16544 18800 20680 21808 23200 25520 25850 27260 29986 31900 34075 37600 41360 43616 51040 51700 54520 59972 63800 68150 74965 82720 103400 109040 119944 127600 136300 149930 206800 218080 239888 255200 272600 299860 374825 413600 479776 545200 599720 749650 1090400 1199440 1499300 2398880 2998600 5997200 11994400