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2545770640 = 245723239827
BaseRepresentation
bin1001011110111101…
…0110000010010000
320120102022112210111
42113233112002100
520203204130030
61100340411104
7120041456560
oct22757260220
96512275714
102545770640
111097026186
125b06a6a94
1331756677a
141a2166da0
15ed76c62a
hex97bd6090

2545770640 has 160 divisors (see below), whose sum is σ = 7096688640. Its totient is φ = 830387712.

The previous prime is 2545770637. The next prime is 2545770649. The reversal of 2545770640 is 460775452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2545770593 and 2545770602.

It is not an unprimeable number, because it can be changed into a prime (2545770649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077907 + ... + 3078733.

It is an arithmetic number, because the mean of its divisors is an integer number (44354304).

Almost surely, 22545770640 is an apocalyptic number.

2545770640 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 2545770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548344320).

2545770640 is an abundant number, since it is smaller than the sum of its proper divisors (4550918000).

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

2545770640 is a wasteful number, since it uses less digits than its factorization.

2545770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 2545770640 is about 50455.6304093012. The cubic root of 2545770640 is about 1365.4414776866.

The spelling of 2545770640 in words is "two billion, five hundred forty-five million, seven hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 239 280 322 368 460 478 560 644 805 827 920 956 1195 1288 1610 1654 1673 1840 1912 2390 2576 3220 3308 3346 3824 4135 4780 5497 5789 6440 6616 6692 8270 8365 9560 10994 11578 12880 13232 13384 16540 16730 19021 19120 21988 23156 26768 27485 28945 33080 33460 38042 38479 43976 46312 54970 57890 66160 66920 76084 76958 87952 92624 95105 109940 115780 133147 133840 152168 153916 190210 192395 197653 219880 231560 266294 304336 307832 380420 384790 395306 439760 463120 532588 615664 665735 760840 769580 790612 988265 1065176 1331470 1383571 1521680 1539160 1581224 1976530 2130352 2662940 2767142 3078320 3162448 3953060 4546019 5325880 5534284 6917855 7906120 9092038 10651760 11068568 13835710 15812240 18184076 22137136 22730095 27671420 31822133 36368152 45460190 55342840 63644266 72736304 90920380 110685680 127288532 159110665 181840760 254577064 318221330 363681520 509154128 636442660 1272885320 2545770640