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2060394960 = 2435131934757
BaseRepresentation
bin111101011001111…
…0010000111010000
312022120222220112110
41322303302013100
513204430114320
6540241225320
7102026032251
oct17263620720
95276886473
102060394960
11968048258
12496032240
1326ab32020
141578dab28
15c0d425e0
hex7acf21d0

2060394960 has 160 divisors (see below), whose sum is σ = 7240786560. Its totient is φ = 480466944.

The previous prime is 2060394949. The next prime is 2060394967. The reversal of 2060394960 is 694930602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2060394967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41902 + ... + 76658.

It is an arithmetic number, because the mean of its divisors is an integer number (45254916).

Almost surely, 22060394960 is an apocalyptic number.

2060394960 is a gapful number since it is divisible by the number (20) 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 2060394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620393280).

2060394960 is an abundant number, since it is smaller than the sum of its proper divisors (5180391600).

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

2060394960 is a wasteful number, since it uses less digits than its factorization.

2060394960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34805 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 2060394960 is about 45391.5736673669. The cubic root of 2060394960 is about 1272.4776399332.

The spelling of 2060394960 in words is "two billion, sixty million, three hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 34757 59280 69514 104271 139028 173785 208542 278056 347570 417084 451841 521355 556112 660383 695140 834168 903682 1042710 1320766 1355523 1390280 1668336 1807364 1981149 2085420 2259205 2641532 2711046 2780560 3301915 3614728 3962298 4170840 4518410 5283064 5422092 6603830 6777615 7229456 7924596 8341680 8584979 9036820 9905745 10566128 10844184 13207660 13555230 15849192 17169958 18073640 19811490 21688368 25754937 26415320 27110460 31698384 34339916 36147280 39622980 42924895 51509874 52830640 54220920 68679832 79245960 85849790 103019748 108441840 128774685 137359664 158491920 171699580 206039496 257549370 343399160 412078992 515098740 686798320 1030197480 2060394960