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120283020 = 2232511134673
BaseRepresentation
bin1110010101101…
…01111110001100
322101100000021200
413022311332030
5221243024040
615534025500
72660250234
oct712657614
9271300250
10120283020
1161995460
1234348290
131bbc59b0
1411d90cc4
15a85e630
hex72b5f8c

120283020 has 144 divisors (see below), whose sum is σ = 428736672. Its totient is φ = 26910720.

The previous prime is 120283013. The next prime is 120283027. The reversal of 120283020 is 20382021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120283013) and next prime (120283027).

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 = 120282984 and 120283002.

It is not an unprimeable number, because it can be changed into a prime (120283027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23404 + ... + 28076.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 2120283020 is an apocalyptic number.

120283020 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 120283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368336).

120283020 is an abundant number, since it is smaller than the sum of its proper divisors (308453652).

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

120283020 is a wasteful number, since it uses less digits than its factorization.

120283020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120283020 is about 10967.3615787937. The cubic root of 120283020 is about 493.6298811576.

Subtracting from 120283020 its reverse (20382021), we obtain a palindrome (99900999).

The spelling of 120283020 in words is "one hundred twenty million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 4673 5148 6435 8580 9346 12870 14019 18692 23365 25740 28038 42057 46730 51403 56076 60749 70095 84114 93460 102806 121498 140190 154209 168228 182247 205612 210285 242996 257015 280380 303745 308418 364494 420570 462627 514030 546741 607490 616836 668239 728988 771045 841140 911235 925254 1028060 1093482 1214980 1336478 1542090 1822470 1850508 2004717 2186964 2313135 2672956 2733705 3084180 3341195 3644940 4009434 4626270 5467410 6014151 6682390 8018868 9252540 10023585 10934820 12028302 13364780 20047170 24056604 30070755 40094340 60141510 120283020