Search a number
-
+
1375338840 = 2335371571973
BaseRepresentation
bin101000111111010…
…0000000101011000
310112211221110012120
41101332200011120
510304041320330
6344250141240
746040121141
oct12176400530
93484843176
101375338840
11646385477
12324721820
1318bc25885
14d0932ac8
1580b22c10
hex51fa0158

1375338840 has 128 divisors (see below), whose sum is σ = 4266682560. Its totient is φ = 354392064.

The previous prime is 1375338827. The next prime is 1375338893. The reversal of 1375338840 is 488335731.

It is a junction number, because it is equal to n+sod(n) for n = 1375338792 and 1375338801.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 696094 + ... + 698066.

Almost surely, 21375338840 is an apocalyptic number.

1375338840 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 1375338840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133341280).

1375338840 is an abundant number, since it is smaller than the sum of its proper divisors (2891343720).

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

1375338840 is a wasteful number, since it uses less digits than its factorization.

1375338840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1375338840 is about 37085.5610716624. The cubic root of 1375338840 is about 1112.0813800145.

The spelling of 1375338840 in words is "one billion, three hundred seventy-five million, three hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 157 185 222 296 314 370 444 471 555 628 740 785 888 942 1110 1256 1480 1570 1884 1973 2220 2355 3140 3768 3946 4440 4710 5809 5919 6280 7892 9420 9865 11618 11838 15784 17427 18840 19730 23236 23676 29045 29595 34854 39460 46472 47352 58090 59190 69708 73001 78920 87135 116180 118380 139416 146002 174270 219003 232360 236760 292004 309761 348540 365005 438006 584008 619522 697080 730010 876012 929283 1095015 1239044 1460020 1548805 1752024 1858566 2190030 2478088 2920040 3097610 3717132 4380060 4646415 6195220 7434264 8760120 9292830 11461157 12390440 18585660 22922314 34383471 37171320 45844628 57305785 68766942 91689256 114611570 137533884 171917355 229223140 275067768 343834710 458446280 687669420 1375338840