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14144928 = 253723197
BaseRepresentation
bin110101111101…
…010110100000
3222121122012020
4311331112200
512110114203
61223101440
7231141600
oct65752640
928548166
1014144928
117a91326
1248a1880
132c133a5
141c42c00
151396153
hexd7d5a0

14144928 has 144 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 3870720.

The previous prime is 14144927. The next prime is 14144941. The reversal of 14144928 is 82944141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145776 + ... + 145872.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 214144928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

14144928 is an abundant number, since it is smaller than the sum of its proper divisors (30900576).

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

14144928 is a wasteful number, since it uses less digits than its factorization.

14144928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 14144928 is about 3760.9743418428. The cubic root of 14144928 is about 241.8430327856.

The spelling of 14144928 in words is "fourteen million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 97 98 112 124 147 168 186 194 196 217 224 248 291 294 336 372 388 392 434 496 582 588 651 672 679 744 776 784 868 992 1164 1176 1302 1358 1488 1519 1552 1568 1736 2037 2328 2352 2604 2716 2976 3007 3038 3104 3472 4074 4557 4656 4704 4753 5208 5432 6014 6076 6944 8148 9021 9114 9312 9506 10416 10864 12028 12152 14259 16296 18042 18228 19012 20832 21049 21728 24056 24304 28518 32592 36084 36456 38024 42098 48112 48608 57036 63147 65184 72168 72912 76048 84196 96224 114072 126294 144336 145824 147343 152096 168392 228144 252588 288672 294686 336784 442029 456288 505176 589372 673568 884058 1010352 1178744 1768116 2020704 2357488 3536232 4714976 7072464 14144928