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11994024 = 233733147
BaseRepresentation
bin101101110000…
…001110101000
3211120100201010
4231300032220
511032302044
61105023520
7203643000
oct55601650
924510633
1011994024
116852319
124024ba0
13263c373
141843000
1510bdbb9
hexb703a8

11994024 has 128 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 3245760.

The previous prime is 11994013. The next prime is 11994043. The reversal of 11994024 is 42049911.

It is a super-2 number, since 2×119940242 = 287713223425152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11993982 and 11994000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255169 + ... + 255215.

It is an arithmetic number, because the mean of its divisors is an integer number (288000).

Almost surely, 211994024 is an apocalyptic number.

11994024 is a gapful number since it is divisible by the number (14) 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 11994024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432000).

11994024 is an abundant number, since it is smaller than the sum of its proper divisors (24869976).

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

11994024 is a wasteful number, since it uses less digits than its factorization.

11994024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11994024 is about 3463.2389464200. The cubic root of 11994024 is about 228.9048376873.

The spelling of 11994024 in words is "eleven million, nine hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 47 49 56 62 84 93 94 98 124 141 147 168 186 188 196 217 248 282 294 329 343 372 376 392 434 564 588 651 658 686 744 868 987 1029 1128 1176 1302 1316 1372 1457 1519 1736 1974 2058 2303 2604 2632 2744 2914 3038 3948 4116 4371 4557 4606 5208 5828 6076 6909 7896 8232 8742 9114 9212 10199 10633 11656 12152 13818 16121 17484 18228 18424 20398 21266 27636 30597 31899 32242 34968 36456 40796 42532 48363 55272 61194 63798 64484 71393 81592 85064 96726 122388 127596 128968 142786 193452 214179 244776 255192 285572 386904 428358 499751 571144 856716 999502 1499253 1713432 1999004 2998506 3998008 5997012 11994024