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540070020 = 223257716037
BaseRepresentation
bin100000001100001…
…101000010000100
31101122020101210100
4200030031002010
52101224220040
6125331324100
716245343110
oct4014150204
91348211710
10540070020
11257945666
12130a50630
1387b74779
1451a26740
1532630b30
hex2030d084

540070020 has 144 divisors (see below), whose sum is σ = 1898926848. Its totient is φ = 121685760.

The previous prime is 540070009. The next prime is 540070051. The reversal of 540070020 is 20070045.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 540069975 and 540070002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86442 + ... + 92478.

It is an arithmetic number, because the mean of its divisors is an integer number (13186992).

Almost surely, 2540070020 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 540070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949463424).

540070020 is an abundant number, since it is smaller than the sum of its proper divisors (1358856828).

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

540070020 is a wasteful number, since it uses less digits than its factorization.

540070020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 540070020 is about 23239.4066189307. The cubic root of 540070020 is about 814.3604804057.

The spelling of 540070020 in words is "five hundred forty million, seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6037 6390 7455 8946 9940 12074 12780 14910 17892 18111 22365 24148 29820 30185 36222 42259 44730 54333 60370 72444 84518 89460 90555 108666 120740 126777 169036 181110 211295 217332 253554 271665 362220 380331 422590 428627 507108 543330 633885 760662 845180 857254 1086660 1267770 1285881 1521324 1714508 1901655 2143135 2535540 2571762 3000389 3803310 3857643 4286270 5143524 6000778 6429405 7606620 7715286 8572540 9001167 12001556 12858810 15001945 15430572 18002334 19288215 25717620 27003501 30003890 36004668 38576430 45005835 54007002 60007780 77152860 90011670 108014004 135017505 180023340 270035010 540070020