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645413280 = 25351970769
BaseRepresentation
bin100110011110000…
…011100110100000
31122222110101120120
4212132003212200
52310211211110
6144013240240
721664631241
oct4636034640
91588411516
10645413280
11301356606
12160193080
13a3939365
1461a08cc8
153b9dd870
hex267839a0

645413280 has 96 divisors (see below), whose sum is σ = 2140084800. Its totient is φ = 163049472.

The previous prime is 645413243. The next prime is 645413287. The reversal of 645413280 is 82314546.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (645413287) by changing a digit.

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, 26265 + ... + 44504.

It is an arithmetic number, because the mean of its divisors is an integer number (22292550).

Almost surely, 2645413280 is an apocalyptic number.

645413280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645413280 is an abundant number, since it is smaller than the sum of its proper divisors (1494671520).

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

645413280 is a wasteful number, since it uses less digits than its factorization.

645413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70806 (or 70798 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 645413280 is about 25404.9853375278. The cubic root of 645413280 is about 864.1967573156.

The spelling of 645413280 in words is "six hundred forty-five million, four hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 70769 141538 212307 283076 353845 424614 566152 707690 849228 1061535 1132304 1344611 1415380 1698456 2123070 2264608 2689222 2830760 3396912 4033833 4246140 5378444 5661520 6723055 6793824 8067666 8492280 10756888 11323040 13446110 16135332 16984560 20169165 21513776 26892220 32270664 33969120 40338330 43027552 53784440 64541328 80676660 107568880 129082656 161353320 215137760 322706640 645413280