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64553640 = 233519231231
BaseRepresentation
bin1111011001000…
…0001010101000
311111110122221120
43312100022220
5113011204030
610223335240
71412461014
oct366201250
9144418846
1064553640
1133491118
1219751520
13104b2828
148805544
155a02010
hex3d902a8

64553640 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 15586560.

The previous prime is 64553581. The next prime is 64553647. The reversal of 64553640 is 4635546.

It is not an unprimeable number, because it can be changed into a prime (64553647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51825 + ... + 53055.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 264553640 is an apocalyptic number.

64553640 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 64553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

64553640 is an abundant number, since it is smaller than the sum of its proper divisors (148335960).

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

64553640 is a wasteful number, since it uses less digits than its factorization.

64553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 64553640 is about 8034.5279886251. The cubic root of 64553640 is about 401.1501066341.

It can be divided in two parts, 645 and 53640, that added together give a triangular number (54285 = T329).

The spelling of 64553640 in words is "sixty-four million, five hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1231 1311 1380 1748 2185 2280 2462 2622 2760 3496 3693 4370 4924 5244 6155 6555 7386 8740 9848 10488 12310 13110 14772 17480 18465 23389 24620 26220 28313 29544 36930 46778 49240 52440 56626 70167 73860 84939 93556 113252 116945 140334 141565 147720 169878 187112 226504 233890 280668 283130 339756 350835 424695 467780 537947 561336 566260 679512 701670 849390 935560 1075894 1132520 1403340 1613841 1698780 2151788 2689735 2806680 3227682 3397560 4303576 5379470 6455364 8069205 10758940 12910728 16138410 21517880 32276820 64553640