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3013404560 = 2451911711693
BaseRepresentation
bin1011001110011100…
…1110011110010000
321210000020210221022
42303213032132100
522132412421220
61215003415012
7134450342015
oct26347163620
97700223838
103013404560
111306a964a1
12701224468
133903c892a
142082d570c
15129840925
hexb39ce790

3013404560 has 80 divisors (see below), whose sum is σ = 7385568960. Its totient is φ = 1140272640.

The previous prime is 3013404523. The next prime is 3013404571. The reversal of 3013404560 is 654043103.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779074 + ... + 1780766.

It is an arithmetic number, because the mean of its divisors is an integer number (92319612).

Almost surely, 23013404560 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 3013404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692784480).

3013404560 is an abundant number, since it is smaller than the sum of its proper divisors (4372164400).

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

3013404560 is a wasteful number, since it uses less digits than its factorization.

3013404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3013404560 is about 54894.4856975635. The cubic root of 3013404560 is about 1444.3944589847.

Adding to 3013404560 its reverse (654043103), we get a palindrome (3667447663).

The spelling of 3013404560 in words is "three billion, thirteen million, four hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1171 1520 1693 2342 3386 4684 5855 6772 8465 9368 11710 13544 16930 18736 22249 23420 27088 32167 33860 44498 46840 64334 67720 88996 93680 111245 128668 135440 160835 177992 222490 257336 321670 355984 444980 514672 643340 889960 1286680 1779920 1982503 2573360 3965006 7930012 9912515 15860024 19825030 31720048 37667557 39650060 75335114 79300120 150670228 158600240 188337785 301340456 376675570 602680912 753351140 1506702280 3013404560