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16002640 = 245200033
BaseRepresentation
bin111101000010…
…111001010000
31010010000111101
4331002321100
513044041030
61330554144
7253006633
oct75027120
933100441
1016002640
119040025
125438954
133413b24
1421a7c1a
1516117ca
hexf42e50

16002640 has 20 divisors (see below), whose sum is σ = 37206324. Its totient is φ = 6401024.

The previous prime is 16002601. The next prime is 16002643. The reversal of 16002640 is 4620061.

It can be written as a sum of positive squares in 2 ways, for example, as 9096256 + 6906384 = 3016^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

16002640 is a modest number, since divided by 2640 gives 1600 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16002643) 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 3 ways as a sum of consecutive naturals, for example, 99937 + ... + 100096.

Almost surely, 216002640 is an apocalyptic number.

16002640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16002640 is an abundant number, since it is smaller than the sum of its proper divisors (21203684).

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

16002640 is a wasteful number, since it uses less digits than its factorization.

16002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200046 (or 200040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16002640 is about 4000.3299863886. The cubic root of 16002640 is about 251.9980683483.

The spelling of 16002640 in words is "sixteen million, two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 200033 400066 800132 1000165 1600264 2000330 3200528 4000660 8001320 16002640