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14135296 = 21271729
BaseRepresentation
bin110101111011…
…000000000000
3222121010222111
4311323000000
512104312141
61222545104
7231101530
oct65730000
928533874
1014135296
117a8506a
124898194
132c0bba6
141c3d4c0
151393381
hexd7b000

14135296 has 104 divisors (see below), whose sum is σ = 35385120. Its totient is φ = 5505024.

The previous prime is 14135291. The next prime is 14135299. The reversal of 14135296 is 69253141.

It is not an unprimeable number, because it can be changed into a prime (14135291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487410 + ... + 487438.

Almost surely, 214135296 is an apocalyptic number.

14135296 is a gapful number since it is divisible by the number (16) 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 14135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692560).

14135296 is an abundant number, since it is smaller than the sum of its proper divisors (21249824).

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

14135296 is an equidigital number, since it uses as much as digits as its factorization.

14135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 14135296 is about 3759.6936045375. The cubic root of 14135296 is about 241.7881259187.

The spelling of 14135296 in words is "fourteen million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 128 136 203 224 232 238 256 272 406 448 464 476 493 512 544 812 896 928 952 986 1024 1088 1624 1792 1856 1904 1972 2048 2176 3248 3451 3584 3712 3808 3944 4096 4352 6496 6902 7168 7424 7616 7888 8704 12992 13804 14336 14848 15232 15776 17408 25984 27608 28672 29696 30464 31552 34816 51968 55216 59392 60928 63104 69632 103936 110432 118784 121856 126208 207872 220864 243712 252416 415744 441728 487424 504832 831488 883456 1009664 1766912 2019328 3533824 7067648 14135296