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20145980760 = 23356719312983
BaseRepresentation
bin10010110000110010…
…110100010101011000
31221000000012212012120
4102300302310111120
5312224332341020
613131022141240
71312144003533
oct226062642530
957000185176
1020145980760
1185a8976584
123aa2a21820
131b909ca299
14d91845a1a
157cd9a4740
hex4b0cb4558

20145980760 has 128 divisors (see below), whose sum is σ = 61662574080. Its totient is φ = 5264252928.

The previous prime is 20145980753. The next prime is 20145980837. The reversal of 20145980760 is 6708954102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545229 + ... + 1558211.

It is an arithmetic number, because the mean of its divisors is an integer number (481738860).

Almost surely, 220145980760 is an apocalyptic number.

20145980760 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 20145980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831287040).

20145980760 is an abundant number, since it is smaller than the sum of its proper divisors (41516593320).

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

20145980760 is a wasteful number, since it uses less digits than its factorization.

20145980760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 20145980760 in words is "twenty billion, one hundred forty-five million, nine hundred eighty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 193 201 268 335 386 402 536 579 670 772 804 965 1005 1158 1340 1544 1608 1930 2010 2316 2680 2895 3860 4020 4632 5790 7720 8040 11580 12931 12983 23160 25862 25966 38793 38949 51724 51932 64655 64915 77586 77898 103448 103864 129310 129830 155172 155796 193965 194745 258620 259660 310344 311592 387930 389490 517240 519320 775860 778980 869861 1551720 1557960 1739722 2505719 2609583 3479444 4349305 5011438 5219166 6958888 7517157 8698610 10022876 10438332 12528595 13047915 15034314 17397220 20045752 20876664 25057190 26095830 30068628 34794440 37585785 50114380 52191660 60137256 75171570 100228760 104383320 150343140 167883173 300686280 335766346 503649519 671532692 839415865 1007299038 1343065384 1678831730 2014598076 2518247595 3357663460 4029196152 5036495190 6715326920 10072990380 20145980760