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1040211300 = 2235217593457
BaseRepresentation
bin111110000000000…
…101110101100100
32200111100012122110
4332000011311210
54112243230200
6251115201020
734530436002
oct7600056544
92614305573
101040211300
11494199167
12250446170
13137678c5b
149c217a72
15614c5b50
hex3e005d64

1040211300 has 144 divisors (see below), whose sum is σ = 3241667520. Its totient is φ = 256573440.

The previous prime is 1040211257. The next prime is 1040211311. The reversal of 1040211300 is 31120401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299172 + ... + 302628.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 21040211300 is an apocalyptic number.

1040211300 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 1040211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

1040211300 is an abundant number, since it is smaller than the sum of its proper divisors (2201456220).

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

1040211300 is a wasteful number, since it uses less digits than its factorization.

1040211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1040211300 is about 32252.3068942363. The cubic root of 1040211300 is about 1013.2280147449.

Adding to 1040211300 its reverse (31120401), we get a palindrome (1071331701).

The spelling of 1040211300 in words is "one billion, forty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 59 60 68 75 85 100 102 118 150 170 177 204 236 255 295 300 340 354 425 510 590 708 850 885 1003 1020 1180 1275 1475 1700 1770 2006 2550 2950 3009 3457 3540 4012 4425 5015 5100 5900 6018 6914 8850 10030 10371 12036 13828 15045 17285 17700 20060 20742 25075 30090 34570 41484 50150 51855 58769 60180 69140 75225 86425 100300 103710 117538 150450 172850 176307 203963 207420 235076 259275 293845 300900 345700 352614 407926 518550 587690 611889 705228 815852 881535 1019815 1037100 1175380 1223778 1469225 1763070 2039630 2447556 2938450 3059445 3467371 3526140 4079260 4407675 5099075 5876900 6118890 6934742 8815350 10198150 10402113 12237780 13869484 15297225 17336855 17630700 20396300 20804226 30594450 34673710 41608452 52010565 61188900 69347420 86684275 104021130 173368550 208042260 260052825 346737100 520105650 1040211300