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3059680 = 255131471
BaseRepresentation
bin1011101010111111100000
312202110002111
423222333200
51240402210
6145325104
735002231
oct13527740
95673074
103059680
1117aa868
121036794
13831880
14599088
1540688a
hex2eafe0

3059680 has 48 divisors (see below), whose sum is σ = 7789824. Its totient is φ = 1128960.

The previous prime is 3059659. The next prime is 3059723. The reversal of 3059680 is 869503.

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 7 ways as a sum of consecutive naturals, for example, 1345 + ... + 2815.

It is an arithmetic number, because the mean of its divisors is an integer number (162288).

Almost surely, 23059680 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 3059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894912).

3059680 is an abundant number, since it is smaller than the sum of its proper divisors (4730144).

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

3059680 is a wasteful number, since it uses less digits than its factorization.

3059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 3059680 is about 1749.1941001501. The cubic root of 3059680 is about 145.1750561112.

The spelling of 3059680 in words is "three million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1471 2080 2942 5884 7355 11768 14710 19123 23536 29420 38246 47072 58840 76492 95615 117680 152984 191230 235360 305968 382460 611936 764920 1529840 3059680