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16054368 = 2531123661
BaseRepresentation
bin111101001111…
…100001100000
31010012122110020
4331033201200
513102214433
61332033440
7253313511
oct75174140
933178406
1016054368
119075980
125462880
133431535
1421bca08
151621cb3
hexf4f860

16054368 has 96 divisors (see below), whose sum is σ = 48045312. Its totient is φ = 4646400.

The previous prime is 16054279. The next prime is 16054397. The reversal of 16054368 is 86345061.

16054368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23958 + ... + 24618.

It is an arithmetic number, because the mean of its divisors is an integer number (500472).

Almost surely, 216054368 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 16054368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022656).

16054368 is an abundant number, since it is smaller than the sum of its proper divisors (31990944).

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

16054368 is a wasteful number, since it uses less digits than its factorization.

16054368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 16054368 is about 4006.7902365859. The cubic root of 16054368 is about 252.2693014240.

It can be divided in two parts, 1605 and 4368, that multiplied together give a triangular number (7010640 = T3744).

The spelling of 16054368 in words is "sixteen million, fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 661 736 759 1012 1056 1104 1322 1518 1983 2024 2208 2644 3036 3966 4048 5288 6072 7271 7932 8096 10576 12144 14542 15203 15864 21152 21813 24288 29084 30406 31728 43626 45609 58168 60812 63456 87252 91218 116336 121624 167233 174504 182436 232672 243248 334466 349008 364872 486496 501699 668932 698016 729744 1003398 1337864 1459488 2006796 2675728 4013592 5351456 8027184 16054368