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64503540 = 22345291373
BaseRepresentation
bin1111011000001…
…1111011110100
311111101010020000
43312003323310
5113003103130
610222311300
71412161653
oct366037364
9144333200
1064503540
1133457512
1219728530
1310495a9a
1487d119a
1559e2260
hex3d83ef4

64503540 has 120 divisors (see below), whose sum is σ = 209480040. Its totient is φ = 16595712.

The previous prime is 64503539. The next prime is 64503563. The reversal of 64503540 is 4530546.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 39463524 = 5004^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46294 + ... + 47666.

It is an arithmetic number, because the mean of its divisors is an integer number (1745667).

Almost surely, 264503540 is an apocalyptic number.

64503540 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 64503540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104740020).

64503540 is an abundant number, since it is smaller than the sum of its proper divisors (144976500).

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

64503540 is a wasteful number, since it uses less digits than its factorization.

64503540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64503540 is about 8031.4095898541. The cubic root of 64503540 is about 401.0463024085.

The spelling of 64503540 in words is "sixty-four million, five hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1373 1566 1620 1740 2349 2610 2746 3132 3915 4119 4698 5220 5492 6865 7830 8238 9396 11745 12357 13730 15660 16476 20595 23490 24714 27460 37071 39817 41190 46980 49428 61785 74142 79634 82380 111213 119451 123570 148284 159268 185355 199085 222426 238902 247140 358353 370710 398170 444852 477804 556065 597255 716706 741420 796340 1075059 1112130 1194510 1433412 1791765 2150118 2224260 2389020 3225177 3583530 4300236 5375295 6450354 7167060 10750590 12900708 16125885 21501180 32251770 64503540