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645103840 = 25529413391
BaseRepresentation
bin100110011100111…
…000000011100000
31122221212200002211
4212130320003200
52310121310330
6144002451504
721662202133
oct4634700340
91587780084
10645103840
11301165077
12160063b94
13a385b564
146196821a
153b97bd2a
hex267380e0

645103840 has 96 divisors (see below), whose sum is σ = 1615541760. Its totient is φ = 242995200.

The previous prime is 645103813. The next prime is 645103841. The reversal of 645103840 is 48301546.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645103841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188545 + ... + 191935.

It is an arithmetic number, because the mean of its divisors is an integer number (16828560).

Almost surely, 2645103840 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 645103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807770880).

645103840 is an abundant number, since it is smaller than the sum of its proper divisors (970437920).

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

645103840 is a wasteful number, since it uses less digits than its factorization.

645103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 645103840 is about 25398.8944641297. The cubic root of 645103840 is about 864.0586237085.

The spelling of 645103840 in words is "six hundred forty-five million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 80 82 116 145 160 164 205 232 290 328 410 464 580 656 820 928 1160 1189 1312 1640 2320 2378 3280 3391 4640 4756 5945 6560 6782 9512 11890 13564 16955 19024 23780 27128 33910 38048 47560 54256 67820 95120 98339 108512 135640 139031 190240 196678 271280 278062 393356 491695 542560 556124 695155 786712 983390 1112248 1390310 1573424 1966780 2224496 2780620 3146848 3933560 4031899 4448992 5561240 7867120 8063798 11122480 15734240 16127596 20159495 22244960 32255192 40318990 64510384 80637980 129020768 161275960 322551920 645103840