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645619140 = 2233510211171
BaseRepresentation
bin100110011110110…
…101110111000100
31122222211211222000
4212132311313010
52310234303030
6144021505300
721666446355
oct4636656704
91588754860
10645619140
11301487241
12160272230
13a39abc7a
1461a5dd2c
153ba2e860
hex267b5dc4

645619140 has 96 divisors (see below), whose sum is σ = 2012277120. Its totient is φ = 171849600.

The previous prime is 645619109. The next prime is 645619147. The reversal of 645619140 is 41916546.

645619140 is a `hidden beast` number, since 6 + 4 + 561 + 91 + 4 + 0 = 666.

It is a super-4 number, since 4×6456191404 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 645619095 and 645619104.

It is not an unprimeable number, because it can be changed into a prime (645619147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 550755 + ... + 551925.

It is an arithmetic number, because the mean of its divisors is an integer number (20961220).

Almost surely, 2645619140 is an apocalyptic number.

645619140 is a gapful number since it is divisible by the number (60) 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 645619140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006138560).

645619140 is an abundant number, since it is smaller than the sum of its proper divisors (1366657980).

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

645619140 is a wasteful number, since it uses less digits than its factorization.

645619140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 645619140 is about 25409.0365814999. The cubic root of 645619140 is about 864.2886284927.

The spelling of 645619140 in words is "six hundred forty-five million, six hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1021 1171 2042 2342 3063 3513 4084 4684 5105 5855 6126 7026 9189 10210 10539 11710 12252 14052 15315 17565 18378 20420 21078 23420 27567 30630 31617 35130 36756 42156 45945 52695 55134 61260 63234 70260 91890 105390 110268 126468 137835 158085 183780 210780 275670 316170 551340 632340 1195591 2391182 3586773 4782364 5977955 7173546 10760319 11955910 14347092 17933865 21520638 23911820 32280957 35867730 43041276 53801595 64561914 71735460 107603190 129123828 161404785 215206380 322809570 645619140