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16540048 = 247217273
BaseRepresentation
bin111111000110…
…000110010000
31011010022200101
4333012012100
513213240143
61350302144
7260405500
oct77060620
934108611
1016540048
119377868
125657954
133571615
1422a7a00
1516bab4d
hexfc6190

16540048 has 90 divisors (see below), whose sum is σ = 40142706. Its totient is φ = 6580224.

The previous prime is 16540037. The next prime is 16540061. The reversal of 16540048 is 84004561.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 9314704 = 2688^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16539998 and 16540025.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 226540 + ... + 226612.

Almost surely, 216540048 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 16540048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071353).

16540048 is an abundant number, since it is smaller than the sum of its proper divisors (23602658).

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

16540048 is a wasteful number, since it uses less digits than its factorization.

16540048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 16540048 is about 4066.9457827711. The cubic root of 16540048 is about 254.7879718993.

The spelling of 16540048 in words is "sixteen million, five hundred forty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 73 98 112 119 136 146 196 238 272 289 292 392 476 511 578 584 784 833 952 1022 1156 1168 1241 1666 1904 2023 2044 2312 2482 3332 3577 4046 4088 4624 4964 6664 7154 8092 8176 8687 9928 13328 14161 14308 16184 17374 19856 21097 28322 28616 32368 34748 42194 56644 57232 60809 69496 84388 113288 121618 138992 147679 168776 226576 243236 295358 337552 486472 590716 972944 1033753 1181432 2067506 2362864 4135012 8270024 16540048