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1125257840 = 245731531223
BaseRepresentation
bin100001100010010…
…0001001001110000
32220102101000120022
41003010201021300
54301031222330
6303354103012
736612351050
oct10304411160
92812330508
101125257840
115281a6963
12274a1aa68
1314c185355
14a9635560
1568bc4ae5
hex43121270

1125257840 has 160 divisors (see below), whose sum is σ = 3147227136. Its totient is φ = 366013440.

The previous prime is 1125257839. The next prime is 1125257851. The reversal of 1125257840 is 487525211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1125257840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919469 + ... + 920691.

Almost surely, 21125257840 is an apocalyptic number.

1125257840 is a gapful number since it is divisible by the number (10) 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 1125257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573613568).

1125257840 is an abundant number, since it is smaller than the sum of its proper divisors (2021969296).

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

1125257840 is a wasteful number, since it uses less digits than its factorization.

1125257840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 1125257840 is about 33544.8630940715. The cubic root of 1125257840 is about 1040.1213615769.

The spelling of 1125257840 in words is "one billion, one hundred twenty-five million, two hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 53 56 62 70 80 106 112 124 140 155 212 217 248 265 280 310 371 424 434 496 530 560 620 742 848 868 1060 1085 1223 1240 1484 1643 1736 1855 2120 2170 2446 2480 2968 3286 3472 3710 4240 4340 4892 5936 6115 6572 7420 8215 8561 8680 9784 11501 12230 13144 14840 16430 17122 17360 19568 23002 24460 26288 29680 32860 34244 37913 42805 46004 48920 57505 64819 65720 68488 75826 85610 92008 97840 115010 129638 131440 136976 151652 171220 184016 189565 230020 259276 265391 303304 324095 342440 379130 453733 460040 518552 530782 606608 648190 684880 758260 907466 920080 1037104 1061564 1296380 1326955 1516520 1814932 2009389 2123128 2268665 2592760 2653910 3033040 3629864 4018778 4246256 4537330 5185520 5307820 7259728 8037556 9074660 10046945 10615640 14065723 16075112 18149320 20093890 21231280 28131446 32150224 36298640 40187780 56262892 70328615 80375560 112525784 140657230 160751120 225051568 281314460 562628920 1125257840