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2640645300 = 2235259193773
BaseRepresentation
bin1001110101100101…
…0000110010110100
320211000211200100210
42131121100302310
520402001122200
61114010105420
7122303054226
oct23531206264
96730750323
102640645300
111135636997
1261841b270
13331104417
141b09c2416
15106c5d650
hex9d650cb4

2640645300 has 144 divisors (see below), whose sum is σ = 7820124480. Its totient is φ = 687759360.

The previous prime is 2640645283. The next prime is 2640645307. The reversal of 2640645300 is 35460462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640645307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415714 + ... + 3416486.

It is an arithmetic number, because the mean of its divisors is an integer number (54306420).

Almost surely, 22640645300 is an apocalyptic number.

2640645300 is a gapful number since it is divisible by the number (20) 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 2640645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910062240).

2640645300 is an abundant number, since it is smaller than the sum of its proper divisors (5179479180).

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

2640645300 is a wasteful number, since it uses less digits than its factorization.

2640645300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2640645300 is about 51387.2094980842. The cubic root of 2640645300 is about 1382.1972453161.

The spelling of 2640645300 in words is "two billion, six hundred forty million, six hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 193 236 295 300 354 386 579 590 708 772 773 885 965 1158 1180 1475 1546 1770 1930 2316 2319 2895 2950 3092 3540 3860 3865 4425 4638 4825 5790 5900 7730 8850 9276 9650 11387 11580 11595 14475 15460 17700 19300 19325 22774 23190 28950 34161 38650 45548 45607 46380 56935 57900 57975 68322 77300 91214 113870 115950 136644 136821 149189 170805 182428 227740 228035 231900 273642 284675 298378 341610 447567 456070 547284 569350 596756 683220 684105 745945 854025 895134 912140 1138700 1140175 1368210 1491890 1708050 1790268 2237835 2280350 2736420 2983780 3416100 3420525 3729725 4475670 4560700 6841050 7459450 8802151 8951340 11189175 13682100 14918900 17604302 22378350 26406453 35208604 44010755 44756700 52812906 88021510 105625812 132032265 176043020 220053775 264064530 440107550 528129060 660161325 880215100 1320322650 2640645300