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20740145520 = 24351713936571
BaseRepresentation
bin10011010100001101…
…011000000101110000
31222112102020120000210
4103110031120011300
5314433434124040
613310005144120
71332650220363
oct232415300560
958472216023
1020740145520
1188832a9336
1240299bb040
131c56b31b73
14100a7100da
15815c1d480
hex4d4358170

20740145520 has 160 divisors (see below), whose sum is σ = 68568111360. Its totient is φ = 5167779840.

The previous prime is 20740145497. The next prime is 20740145593. The reversal of 20740145520 is 2554104702.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 548835 + ... + 585405.

It is an arithmetic number, because the mean of its divisors is an integer number (428550696).

Almost surely, 220740145520 is an apocalyptic number.

20740145520 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 20740145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34284055680).

20740145520 is an abundant number, since it is smaller than the sum of its proper divisors (47827965840).

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

20740145520 is a wasteful number, since it uses less digits than its factorization.

20740145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36743 (or 36737 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 20740145520 in words is "twenty billion, seven hundred forty million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 139 170 204 240 255 272 278 340 408 417 510 556 680 695 816 834 1020 1112 1360 1390 1668 2040 2085 2224 2363 2780 3336 4080 4170 4726 5560 6672 7089 8340 9452 11120 11815 14178 16680 18904 23630 28356 33360 35445 36571 37808 47260 56712 70890 73142 94520 109713 113424 141780 146284 182855 189040 219426 283560 292568 365710 438852 548565 567120 585136 621707 731420 877704 1097130 1243414 1462840 1755408 1865121 2194260 2486828 2925680 3108535 3730242 4388520 4973656 5083369 6217070 7460484 8777040 9325605 9947312 10166738 12434140 14920968 15250107 18651210 20333476 24868280 25416845 29841936 30500214 37302420 40666952 49736560 50833690 61000428 74604840 76250535 81333904 86417273 101667380 122000856 149209680 152501070 172834546 203334760 244001712 259251819 305002140 345669092 406669520 432086365 518503638 610004280 691338184 864172730 1037007276 1220008560 1296259095 1382676368 1728345460 2074014552 2592518190 3456690920 4148029104 5185036380 6913381840 10370072760 20740145520