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16137954 = 2347219107
BaseRepresentation
bin111101100011…
…111011100010
31010100220010000
4331203323202
513112403304
61333520430
7254112300
oct75437342
933326100
1016137954
119122758
1254a3116
1334605b1
142201270
15163b939
hexf63ee2

16137954 has 120 divisors (see below), whose sum is σ = 44692560. Its totient is φ = 4327344.

The previous prime is 16137941. The next prime is 16137971. The reversal of 16137954 is 45973161.

It is a super-2 number, since 2×161379542 = 520867118612232, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150769 + ... + 150875.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 216137954 is an apocalyptic number.

16137954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16137954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346280).

16137954 is an abundant number, since it is smaller than the sum of its proper divisors (28554606).

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

16137954 is a wasteful number, since it uses less digits than its factorization.

16137954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 16137954 is about 4017.2072388663. The cubic root of 16137954 is about 252.7063515923.

The spelling of 16137954 in words is "sixteen million, one hundred thirty-seven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 107 114 126 133 147 162 171 189 214 266 294 321 342 378 399 441 513 567 642 749 798 882 931 963 1026 1134 1197 1323 1498 1539 1862 1926 2033 2247 2394 2646 2793 2889 3078 3591 3969 4066 4494 5243 5586 5778 6099 6741 7182 7938 8379 8667 10486 10773 12198 13482 14231 15729 16758 17334 18297 20223 21546 25137 28462 31458 36594 40446 42693 47187 50274 54891 60669 75411 85386 94374 99617 109782 121338 128079 141561 150822 164673 199234 256158 283122 298851 329346 384237 424683 597702 768474 849366 896553 1152711 1793106 2305422 2689659 5379318 8068977 16137954