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64603040 = 2551979269
BaseRepresentation
bin1111011001110…
…0001110100000
311111120011201012
43312130032200
5113014244130
610224400052
71413055025
oct366341640
9144504635
1064603040
1133515247
1219776028
13104cc168
14881954c
155a11995
hex3d9c3a0

64603040 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 24081408.

The previous prime is 64603037. The next prime is 64603079. The reversal of 64603040 is 4030646.

64603040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64602997 and 64603015.

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, 240026 + ... + 240294.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 264603040 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 64603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

64603040 is an abundant number, since it is smaller than the sum of its proper divisors (98692960).

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

64603040 is a wasteful number, since it uses less digits than its factorization.

64603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 64603040 is about 8037.6016323279. The cubic root of 64603040 is about 401.2524079267.

Adding to 64603040 its reverse (4030646), we get a palindrome (68633686).

The spelling of 64603040 in words is "sixty-four million, six hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 79 80 95 152 158 160 190 269 304 316 380 395 538 608 632 760 790 1076 1264 1345 1501 1520 1580 2152 2528 2690 3002 3040 3160 4304 5111 5380 6004 6320 7505 8608 10222 10760 12008 12640 15010 20444 21251 21520 24016 25555 30020 40888 42502 43040 48032 51110 60040 81776 85004 102220 106255 120080 163552 170008 204440 212510 240160 340016 403769 408880 425020 680032 807538 817760 850040 1615076 1700080 2018845 3230152 3400160 4037690 6460304 8075380 12920608 16150760 32301520 64603040