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1031745540 = 223572519787
BaseRepresentation
bin111101011111110…
…011000000000100
32122220102002210210
4331133303000010
54103111324130
6250213515420
734365456330
oct7537630004
92586362723
101031745540
1148a436771
12249642b70
131359a3827
149b0527c0
15608a25b0
hex3d7f3004

1031745540 has 96 divisors (see below), whose sum is σ = 3315078144. Its totient is φ = 234864000.

The previous prime is 1031745511. The next prime is 1031745571. The reversal of 1031745540 is 455471301.

1031745540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031745498 and 1031745507.

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, 100527 + ... + 110313.

It is an arithmetic number, because the mean of its divisors is an integer number (34532064).

Almost surely, 21031745540 is an apocalyptic number.

1031745540 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 1031745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657539072).

1031745540 is an abundant number, since it is smaller than the sum of its proper divisors (2283332604).

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

1031745540 is a wasteful number, since it uses less digits than its factorization.

1031745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1031745540 is about 32120.7960673455. The cubic root of 1031745540 is about 1010.4718051879.

The spelling of 1031745540 in words is "one billion, thirty-one million, seven hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 9787 10542 15060 17570 19574 21084 26355 29361 35140 39148 48935 52710 58722 68509 97870 105420 117444 137018 146805 195740 205527 274036 293610 342545 411054 587220 685090 822108 1027635 1370180 2055270 2456537 4110540 4913074 7369611 9826148 12282685 14739222 17195759 24565370 29478444 34391518 36848055 49130740 51587277 68783036 73696110 85978795 103174554 147392220 171957590 206349108 257936385 343915180 515872770 1031745540