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1960659144 = 2332294719979
BaseRepresentation
bin111010011011101…
…0100100011001000
312001122022210201100
41310313110203020
513003412043034
6522315421400
766405220263
oct16467244310
95048283640
101960659144
11916817264
12468754860
13253281852
14148577cda
15b71e1099
hex74dd48c8

1960659144 has 96 divisors (see below), whose sum is σ = 5610384000. Its totient is φ = 617559936.

The previous prime is 1960659091. The next prime is 1960659187. The reversal of 1960659144 is 4419560691.

It is a happy number.

1960659144 is a `hidden beast` number, since 19 + 6 + 0 + 6 + 591 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1960659144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88147 + ... + 108125.

It is an arithmetic number, because the mean of its divisors is an integer number (58441500).

Almost surely, 21960659144 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 1960659144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805192000).

1960659144 is an abundant number, since it is smaller than the sum of its proper divisors (3649724856).

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

1960659144 is a wasteful number, since it uses less digits than its factorization.

1960659144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20067 (or 20060 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1960659144 is about 44279.3308892535. The cubic root of 1960659144 is about 1251.6052217814.

It can be divided in two parts, 196065 and 9144, that added together give a square (205209 = 4532).

The spelling of 1960659144 in words is "one billion, nine hundred sixty million, six hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 423 522 564 696 846 1044 1128 1363 1692 2088 2726 3384 4089 5452 8178 10904 12267 16356 19979 24534 32712 39958 49068 59937 79916 98136 119874 159832 179811 239748 359622 479496 579391 719244 939013 1158782 1438488 1738173 1878026 2317564 2817039 3476346 3756052 4635128 5214519 5634078 6952692 7512104 8451117 10429038 11268156 13905384 16902234 20858076 22536312 27231377 33804468 41716152 54462754 67608936 81694131 108925508 163388262 217851016 245082393 326776524 490164786 653553048 980329572 1960659144