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16002740 = 22513611009
BaseRepresentation
bin111101000010…
…111010110100
31010010000122002
4331002322310
513044041430
61330554432
7253010135
oct75027264
933100562
1016002740
119040106
125438a18
133413ba0
1421a7c8c
151611845
hexf42eb4

16002740 has 48 divisors (see below), whose sum is σ = 36820560. Its totient is φ = 5806080.

The previous prime is 16002737. The next prime is 16002757. The reversal of 16002740 is 4720061.

It can be written as a sum of positive squares in 8 ways, for example, as 6130576 + 9872164 = 2476^2 + 3142^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 15356 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (767095).

Almost surely, 216002740 is an apocalyptic number.

16002740 is a gapful number since it is divisible by the number (10) 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 16002740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410280).

16002740 is an abundant number, since it is smaller than the sum of its proper divisors (20817820).

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

16002740 is a wasteful number, since it uses less digits than its factorization.

16002740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 16002740 is about 4000.3424853380. The cubic root of 16002740 is about 251.9985932566.

The spelling of 16002740 in words is "sixteen million, two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1009 1220 1586 2018 3172 3965 4036 5045 7930 10090 13117 15860 20180 26234 52468 61549 65585 123098 131170 246196 262340 307745 615490 800137 1230980 1600274 3200548 4000685 8001370 16002740