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21020531040 = 2532573199967
BaseRepresentation
bin10011100100111010…
…111101100101100000
32000020221211121122200
4103210322331211200
5321022223443130
613353502533200
71342623365025
oct234472754540
960227747580
1021020531040
118a075a6103
1240a7897200
131c9cc52b62
141035a5954c
15830655760
hex4e4ebd960

21020531040 has 144 divisors (see below), whose sum is σ = 72715563648. Its totient is φ = 5528659968.

The previous prime is 21020531017. The next prime is 21020531053. The reversal of 21020531040 is 4013502012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5137 + ... + 205103.

It is an arithmetic number, because the mean of its divisors is an integer number (504969192).

Almost surely, 221020531040 is an apocalyptic number.

21020531040 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 21020531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357781824).

21020531040 is an abundant number, since it is smaller than the sum of its proper divisors (51695032608).

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

21020531040 is a wasteful number, since it uses less digits than its factorization.

21020531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200061 (or 200050 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 21020531040 in words is "twenty-one billion, twenty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 199967 399934 599901 799868 999835 1199802 1599736 1799703 1999670 2399604 2999505 3199472 3599406 3999340 4799208 5999010 6398944 7198812 7998680 8998515 9598416 11998020 14397624 14597591 15997360 17997030 19196832 23996040 28795248 29195182 31994720 35994060 43792773 47992080 57590496 58390364 71988120 72987955 87585546 95984160 116780728 131378319 143976240 145975910 175171092 218963865 233561456 262756638 287952480 291951820 350342184 437927730 467122912 525513276 583903640 656891595 700684368 875855460 1051026552 1167807280 1313783190 1401368736 1751710920 2102053104 2335614560 2627566380 3503421840 4204106208 5255132760 7006843680 10510265520 21020531040