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14197248 = 29331379
BaseRepresentation
bin110110001010…
…001000000000
3222201021222000
4312022020000
512113302443
61224144000
7231450252
oct66121000
928637860
1014197248
11801766a
124908000
132c31150
141c57cd2
1513a68d3
hexd8a200

14197248 has 160 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 4313088.

The previous prime is 14197219. The next prime is 14197277. The reversal of 14197248 is 84279141.

It is an interprime number because it is at equal distance from previous prime (14197219) and next prime (14197277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 14197248 = 723 + 2403 = 1863 + 1983.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179673 + ... + 179751.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 214197248 is an apocalyptic number.

14197248 is a gapful number since it is divisible by the number (18) 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 14197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

14197248 is an abundant number, since it is smaller than the sum of its proper divisors (31633152).

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

14197248 is an equidigital number, since it uses as much as digits as its factorization.

14197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14197248 is about 3767.9235661037. The cubic root of 14197248 is about 242.1408464530.

The spelling of 14197248 in words is "fourteen million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 79 96 104 108 117 128 144 156 158 192 208 216 234 237 256 288 312 316 351 384 416 432 468 474 512 576 624 632 702 711 768 832 864 936 948 1027 1152 1248 1264 1404 1422 1536 1664 1728 1872 1896 2054 2133 2304 2496 2528 2808 2844 3081 3328 3456 3744 3792 4108 4266 4608 4992 5056 5616 5688 6162 6656 6912 7488 7584 8216 8532 9243 9984 10112 11232 11376 12324 13824 14976 15168 16432 17064 18486 19968 20224 22464 22752 24648 27729 29952 30336 32864 34128 36972 40448 44928 45504 49296 55458 59904 60672 65728 68256 73944 89856 91008 98592 110916 121344 131456 136512 147888 179712 182016 197184 221832 262912 273024 295776 364032 394368 443664 525824 546048 591552 788736 887328 1092096 1183104 1577472 1774656 2366208 3549312 4732416 7098624 14197248