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1320120040 = 235173771739
BaseRepresentation
bin100111010101111…
…0110111011101000
310102000001001020211
41032223312323220
510200422320130
6334554430504
744466556321
oct11653667350
93360031224
101320120040
1161819a7a8
1230a132434
13180660c25
14c747b448
157ad66a2a
hex4eaf6ee8

1320120040 has 128 divisors (see below), whose sum is σ = 3279916800. Its totient is φ = 476098560.

The previous prime is 1320119951. The next prime is 1320120047. The reversal of 1320120040 is 400210231.

It is a self number, because there is not a number n which added to its sum of digits gives 1320120040.

It is not an unprimeable number, because it can be changed into a prime (1320120047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785991 + ... + 1786729.

It is an arithmetic number, because the mean of its divisors is an integer number (25624350).

Almost surely, 21320120040 is an apocalyptic number.

1320120040 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 1320120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639958400).

1320120040 is an abundant number, since it is smaller than the sum of its proper divisors (1959796760).

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

1320120040 is a wasteful number, since it uses less digits than its factorization.

1320120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1320120040 is about 36333.4562077433. The cubic root of 1320120040 is about 1096.9945618108.

Adding to 1320120040 its reverse (400210231), we get a palindrome (1720330271).

The spelling of 1320120040 in words is "one billion, three hundred twenty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 71 74 85 136 142 148 170 185 284 296 340 355 370 568 629 680 710 739 740 1207 1258 1420 1478 1480 2414 2516 2627 2840 2956 3145 3695 4828 5032 5254 5912 6035 6290 7390 9656 10508 12070 12563 12580 13135 14780 21016 24140 25126 25160 26270 27343 29560 44659 48280 50252 52469 52540 54686 62815 89318 100504 104938 105080 109372 125630 136715 178636 209876 218744 223295 251260 262345 273430 357272 419752 446590 464831 502520 524690 546860 891973 893180 929662 1049380 1093720 1783946 1786360 1859324 1941353 2098760 2324155 3567892 3718648 3882706 4459865 4648310 7135784 7765412 8919730 9296620 9706765 15530824 17839460 18593240 19413530 33003001 35678920 38827060 66006002 77654120 132012004 165015005 264024008 330030010 660060020 1320120040