Search a number
-
+
120201620 = 22571189877
BaseRepresentation
bin1110010101000…
…10000110010100
322101011212121212
413022202012110
5221232422440
615532200552
72656461020
oct712420624
9271155555
10120201620
116193a290
1234309158
131bb97926
1411d6d380
15a845465
hex72a2194

120201620 has 96 divisors (see below), whose sum is σ = 318608640. Its totient is φ = 37002240.

The previous prime is 120201617. The next prime is 120201623. The reversal of 120201620 is 26102021.

It is an interprime number because it is at equal distance from previous prime (120201617) and next prime (120201623).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120201595 and 120201604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136622 + ... + 137498.

It is an arithmetic number, because the mean of its divisors is an integer number (3318840).

Almost surely, 2120201620 is an apocalyptic number.

120201620 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 120201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159304320).

120201620 is an abundant number, since it is smaller than the sum of its proper divisors (198407020).

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

120201620 is a wasteful number, since it uses less digits than its factorization.

120201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120201620 is about 10963.6499396871. The cubic root of 120201620 is about 493.5185034535.

Adding to 120201620 its reverse (26102021), we get a palindrome (146303641).

The spelling of 120201620 in words is "one hundred twenty million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 877 890 979 1246 1540 1754 1780 1958 2492 3115 3508 3916 4385 4895 6139 6230 6853 8770 9647 9790 12278 12460 13706 17540 19294 19580 24556 27412 30695 34265 38588 48235 61390 67529 68530 78053 96470 122780 135058 137060 156106 192940 270116 312212 337645 390265 546371 675290 780530 858583 1092742 1350580 1561060 1717166 2185484 2731855 3434332 4292915 5463710 6010081 8585830 10927420 12020162 17171660 24040324 30050405 60100810 120201620