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16055136 = 2532107521
BaseRepresentation
bin111101001111…
…101101100000
31010012200111200
4331033231200
513102231021
61332041200
7253315656
oct75175540
933180450
1016055136
119076509
125463200
1334319a6
1421bcdd6
151622126
hexf4fb60

16055136 has 72 divisors (see below), whose sum is σ = 46171944. Its totient is φ = 5291520.

The previous prime is 16055129. The next prime is 16055141. The reversal of 16055136 is 63155061.

It is a happy number.

16055136 is a `hidden beast` number, since 1 + 605 + 51 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30556 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (641277).

Almost surely, 216055136 is an apocalyptic number.

16055136 is a gapful number since it is divisible by the number (16) 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 16055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085972).

16055136 is an abundant number, since it is smaller than the sum of its proper divisors (30116808).

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

16055136 is a wasteful number, since it uses less digits than its factorization.

16055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 16055136 is about 4006.8860727503. The cubic root of 16055136 is about 252.2733239997.

The spelling of 16055136 in words is "sixteen million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 521 642 856 963 1042 1284 1563 1712 1926 2084 2568 3126 3424 3852 4168 4689 5136 6252 7704 8336 9378 10272 12504 15408 16672 18756 25008 30816 37512 50016 55747 75024 111494 150048 167241 222988 334482 445976 501723 668964 891952 1003446 1337928 1783904 2006892 2675856 4013784 5351712 8027568 16055136