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16057944 = 23327151211
BaseRepresentation
bin111101010000…
…011001011000
31010012211100200
4331100121120
513102323234
61332102200
7253330110
oct75203130
933184320
1016057944
119078631
125464960
133433056
1421c0040
151622d99
hexf50658

16057944 has 96 divisors (see below), whose sum is σ = 50269440. Its totient is φ = 4536000.

The previous prime is 16057919. The next prime is 16057949. The reversal of 16057944 is 44975061.

16057944 is a `hidden beast` number, since 1 + 605 + 7 + 9 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16057899 and 16057908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16057949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75999 + ... + 76209.

It is an arithmetic number, because the mean of its divisors is an integer number (523640).

Almost surely, 216057944 is an apocalyptic number.

16057944 is a gapful number since it is divisible by the number (14) 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 16057944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25134720).

16057944 is an abundant number, since it is smaller than the sum of its proper divisors (34211496).

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

16057944 is a wasteful number, since it uses less digits than its factorization.

16057944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 16057944 is about 4007.2364542163. The cubic root of 16057944 is about 252.2880304505.

The spelling of 16057944 in words is "sixteen million, fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 211 252 302 422 453 504 604 633 844 906 1057 1208 1266 1359 1477 1688 1812 1899 2114 2532 2718 2954 3171 3624 3798 4228 4431 5064 5436 5908 6342 7596 8456 8862 9513 10872 11816 12684 13293 15192 17724 19026 25368 26586 31861 35448 38052 53172 63722 76104 95583 106344 127444 191166 223027 254888 286749 382332 446054 573498 669081 764664 892108 1146996 1338162 1784216 2007243 2293992 2676324 4014486 5352648 8028972 16057944