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4573680 = 2435171959
BaseRepresentation
bin10001011100100111110000
322121100220120
4101130213300
52132324210
6242010240
753606226
oct21344760
98540816
104573680
112644301
121646980
13c41a27
14870b16
15605270
hex45c9f0

4573680 has 160 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1069056.

The previous prime is 4573649. The next prime is 4573687. The reversal of 4573680 is 863754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4573687) 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 31 ways as a sum of consecutive naturals, for example, 77491 + ... + 77549.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 24573680 is an apocalyptic number.

4573680 is a gapful number since it is divisible by the number (40) 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 4573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

4573680 is an abundant number, since it is smaller than the sum of its proper divisors (11496720).

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

4573680 is a wasteful number, since it uses less digits than its factorization.

4573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4573680 is about 2138.6163751360. The cubic root of 4573680 is about 165.9925481728.

It can be divided in two parts, 4573 and 680, that added together give a triangular number (5253 = T102).

The spelling of 4573680 in words is "four million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 59 60 68 76 80 85 95 102 114 118 120 136 152 170 177 190 204 228 236 240 255 272 285 295 304 323 340 354 380 408 456 472 510 570 590 646 680 708 760 816 885 912 944 969 1003 1020 1121 1140 1180 1292 1360 1416 1520 1615 1770 1938 2006 2040 2242 2280 2360 2584 2832 3009 3230 3363 3540 3876 4012 4080 4484 4560 4720 4845 5015 5168 5605 6018 6460 6726 7080 7752 8024 8968 9690 10030 11210 12036 12920 13452 14160 15045 15504 16048 16815 17936 19057 19380 20060 22420 24072 25840 26904 30090 33630 38114 38760 40120 44840 48144 53808 57171 60180 67260 76228 77520 80240 89680 95285 114342 120360 134520 152456 190570 228684 240720 269040 285855 304912 381140 457368 571710 762280 914736 1143420 1524560 2286840 4573680