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16136928 = 253319983
BaseRepresentation
bin111101100011…
…101011100000
31010100211201000
4331203223200
513112340203
61333512000
7254106303
oct75435340
933324630
1016136928
119121a05
1254a2600
13345cca2
142200b3a
15163b4a3
hexf63ae0

16136928 has 96 divisors (see below), whose sum is σ = 49593600. Its totient is φ = 5090688.

The previous prime is 16136899. The next prime is 16136929. The reversal of 16136928 is 82963161.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16136892 and 16136901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16136929) 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 15 ways as a sum of consecutive naturals, for example, 15925 + ... + 16907.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 216136928 is an apocalyptic number.

16136928 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 16136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796800).

16136928 is an abundant number, since it is smaller than the sum of its proper divisors (33456672).

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

16136928 is a wasteful number, since it uses less digits than its factorization.

16136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16136928 is about 4017.0795361805. The cubic root of 16136928 is about 252.7009960557.

The spelling of 16136928 in words is "sixteen million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 983 1026 1368 1824 1966 2052 2736 2949 3932 4104 5472 5898 7864 8208 8847 11796 15728 16416 17694 18677 23592 26541 31456 35388 37354 47184 53082 56031 70776 74708 94368 106164 112062 141552 149416 168093 212328 224124 283104 298832 336186 424656 448248 504279 597664 672372 849312 896496 1008558 1344744 1792992 2017116 2689488 4034232 5378976 8068464 16136928