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14404992 = 273723233
BaseRepresentation
bin110110111100…
…110110000000
31000002211221020
4312330312000
512141424432
61232425440
7233304030
oct66746600
930084836
1014404992
118149758
1249a8280
132ca4884
141cad8c0
1513e822c
hexdbcd80

14404992 has 128 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 3919872.

The previous prime is 14404991. The next prime is 14404993. The reversal of 14404992 is 29940441.

14404992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14404991) and next prime (14404993).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61708 + ... + 61940.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 214404992 is an apocalyptic number.

14404992 is a gapful number since it is divisible by the number (12) 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 14404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

14404992 is an abundant number, since it is smaller than the sum of its proper divisors (31421568).

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

14404992 is a wasteful number, since it uses less digits than its factorization.

14404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 14404992 is about 3795.3908889599. The cubic root of 14404992 is about 243.3161898641.

The spelling of 14404992 in words is "fourteen million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 233 276 322 336 368 384 448 466 483 552 644 672 699 736 896 932 966 1104 1288 1344 1398 1472 1631 1864 1932 2208 2576 2688 2796 2944 3262 3728 3864 4416 4893 5152 5359 5592 6524 7456 7728 8832 9786 10304 10718 11184 13048 14912 15456 16077 19572 20608 21436 22368 26096 29824 30912 32154 37513 39144 42872 44736 52192 61824 64308 75026 78288 85744 89472 104384 112539 128616 150052 156576 171488 208768 225078 257232 300104 313152 342976 450156 514464 600208 626304 685952 900312 1028928 1200416 1800624 2057856 2400832 3601248 4801664 7202496 14404992