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120680820 = 223351317191
BaseRepresentation
bin1110011000101…
…11000101110100
322102002012222000
413030113011310
5221343241240
615550335300
72663525061
oct714270564
9272065860
10120680820
1162137317
12344ba530
131c004a90
1412055c68
15a8dc430
hex7317174

120680820 has 96 divisors (see below), whose sum is σ = 404355840. Its totient is φ = 29704320.

The previous prime is 120680809. The next prime is 120680827. The reversal of 120680820 is 28086021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120680827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (4212040).

Almost surely, 2120680820 is an apocalyptic number.

120680820 is a gapful number since it is divisible by the number (10) 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 120680820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202177920).

120680820 is an abundant number, since it is smaller than the sum of its proper divisors (283675020).

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

120680820 is a wasteful number, since it uses less digits than its factorization.

120680820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17222 (or 17214 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120680820 is about 10985.4822379357. The cubic root of 120680820 is about 494.1734599319.

The spelling of 120680820 in words is "one hundred twenty million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 17191 34382 51573 68764 85955 103146 154719 171910 206292 223483 257865 309438 343820 446966 464157 515730 618876 670449 773595 893932 928314 1031460 1117415 1340898 1547190 1856628 2011347 2234830 2320785 2681796 3094380 3352245 4022694 4469660 4641570 6034041 6704490 8045388 9283140 10056735 12068082 13408980 20113470 24136164 30170205 40226940 60340410 120680820