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120001420 = 225711292687
BaseRepresentation
bin1110010011100…
…01001110001100
322100210201000001
413021301032030
5221210021140
615524014044
72654665240
oct711611614
9270721001
10120001420
1161812930
1234231324
131bb27776
1411d1a420
15a805e9a
hex727138c

120001420 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 36099840.

The previous prime is 120001393. The next prime is 120001423. The reversal of 120001420 is 24100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120001397 and 120001406.

It is not an unprimeable number, because it can be changed into a prime (120001423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43317 + ... + 46003.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2120001420 is an apocalyptic number.

120001420 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 120001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

120001420 is an abundant number, since it is smaller than the sum of its proper divisors (205139060).

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

120001420 is a wasteful number, since it uses less digits than its factorization.

120001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120001420 is about 10954.5159637476. The cubic root of 120001420 is about 493.2443604257.

Adding to 120001420 its reverse (24100021), we get a palindrome (144101441).

The spelling of 120001420 in words is "one hundred twenty million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 2687 3190 4060 4466 5374 6380 8932 10748 11165 13435 18809 22330 26870 29557 37618 44660 53740 59114 75236 77923 94045 118228 147785 155846 188090 206899 295570 311692 376180 389615 413798 545461 591140 779230 827596 857153 1034495 1090922 1558460 1714306 2068990 2181844 2727305 3428612 4137980 4285765 5454610 6000071 8571530 10909220 12000142 17143060 24000284 30000355 60000710 120001420