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1960385128 = 231322322741
BaseRepresentation
bin111010011011001…
…0001101001101000
312001121210212211121
41310312101221220
513003324311003
6522305505024
766402666352
oct16466215150
95047725747
101960385128
1191664a3a9
12468642174
132531b6c00
141485060d2
15b7189cbd
hex74d91a68

1960385128 has 72 divisors (see below), whose sum is σ = 4162314870. Its totient is φ = 865138560.

The previous prime is 1960385071. The next prime is 1960385149. The reversal of 1960385128 is 8215830691.

It can be written as a sum of positive squares in 3 ways, for example, as 779638084 + 1180747044 = 27922^2 + 34362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 713838 + ... + 716578.

Almost surely, 21960385128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960385128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081157435).

1960385128 is an abundant number, since it is smaller than the sum of its proper divisors (2201929742).

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

1960385128 is a wasteful number, since it uses less digits than its factorization.

1960385128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 1960385128 is about 44276.2366061073. The cubic root of 1960385128 is about 1251.5469121672.

The spelling of 1960385128 in words is "one billion, nine hundred sixty million, three hundred eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 529 598 676 1058 1196 1352 2116 2392 2741 3887 4232 5482 6877 7774 10964 13754 15548 21928 27508 31096 35633 55016 63043 71266 89401 126086 142532 178802 252172 285064 357604 463229 504344 715208 819559 926458 1449989 1639118 1852916 2899978 3278236 3705832 5799956 6556472 10654267 11599912 18849857 21308534 37699714 42617068 75399428 85234136 150798856 245048141 490096282 980192564 1960385128