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1350732460 = 2257113072857
BaseRepresentation
bin101000010000010…
…1000101010101100
310111010122022121011
41100200220222230
510231241414320
6342010515004
745321015340
oct12040505254
93433568534
101350732460
116334a9320
12318435a64
13186abb89c
14cb569620
157d8b205a
hex50828aac

1350732460 has 96 divisors (see below), whose sum is σ = 3549224448. Its totient is φ = 419489280.

The previous prime is 1350732443. The next prime is 1350732463. The reversal of 1350732460 is 642370531.

It is not an unprimeable number, because it can be changed into a prime (1350732463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471352 + ... + 474208.

It is an arithmetic number, because the mean of its divisors is an integer number (36971088).

Almost surely, 21350732460 is an apocalyptic number.

1350732460 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 1350732460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774612224).

1350732460 is an abundant number, since it is smaller than the sum of its proper divisors (2198491988).

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

1350732460 is a wasteful number, since it uses less digits than its factorization.

1350732460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 1350732460 is about 36752.3123082072. The cubic root of 1350732460 is about 1105.4092953581.

The spelling of 1350732460 in words is "one billion, three hundred fifty million, seven hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 307 308 385 614 770 1228 1535 1540 2149 2857 3070 3377 4298 5714 6140 6754 8596 10745 11428 13508 14285 16885 19999 21490 23639 28570 31427 33770 39998 42980 47278 57140 62854 67540 79996 94556 99995 118195 125708 157135 199990 219989 236390 314270 399980 439978 472780 628540 877099 879956 1099945 1754198 2199890 3508396 4385495 4399780 6139693 8770990 9648089 12279386 17541980 19296178 24558772 30698465 38592356 48240445 61396930 67536623 96480890 122793860 135073246 192961780 270146492 337683115 675366230 1350732460