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120360042020 = 22533757730949
BaseRepresentation
bin111000000011000000…
…1000111111000100100
3102111200002122122022002
41300012001013320210
53432444132321040
6131143113224432
711460430322411
oct1600601077044
9374602578262
10120360042020
1147054119009
121b3b0402118
13b47197829a
145b7b0a9108
1531e68c4a15
hex1c06047e24

120360042020 has 48 divisors (see below), whose sum is σ = 253953663600. Its totient is φ = 47916417024.

The previous prime is 120360042013. The next prime is 120360042029. The reversal of 120360042020 is 20240063021.

It can be written as a sum of positive squares in 8 ways, for example, as 22830001216 + 97530040804 = 151096^2 + 312298^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120360041983 and 120360042001.

It is not an unprimeable number, because it can be changed into a prime (120360042029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3873506 + ... + 3904454.

It is an arithmetic number, because the mean of its divisors is an integer number (5290701325).

Almost surely, 2120360042020 is an apocalyptic number.

120360042020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120360042020 is an abundant number, since it is smaller than the sum of its proper divisors (133593621580).

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

120360042020 is a wasteful number, since it uses less digits than its factorization.

120360042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31872 (or 31870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 120360042020 in words is "one hundred twenty billion, three hundred sixty million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 337 577 674 1154 1348 1685 2308 2885 3370 5770 6740 11540 30949 61898 123796 154745 194449 309490 388898 618980 777796 972245 1944490 3888980 10429813 17857573 20859626 35715146 41719252 52149065 71430292 89287865 104298130 178575730 208596260 357151460 6018002101 12036004202 24072008404 30090010505 60180021010 120360042020