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420112140 = 223571915237
BaseRepresentation
bin11001000010100…
…110011100001100
31002021111220111220
4121002212130030
51330022042030
6105404243340
713260615510
oct3102463414
91067456456
10420112140
111a6162518
12b8840550
1369063a86
143db1c140
1526d37a10
hex190a670c

420112140 has 96 divisors (see below), whose sum is σ = 1351655424. Its totient is φ = 95504640.

The previous prime is 420112123. The next prime is 420112163. The reversal of 420112140 is 41211024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77602 + ... + 82838.

It is an arithmetic number, because the mean of its divisors is an integer number (14079744).

Almost surely, 2420112140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675827712).

420112140 is an abundant number, since it is smaller than the sum of its proper divisors (931543284).

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

420112140 is a wasteful number, since it uses less digits than its factorization.

420112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 420112140 is about 20496.6372851744. The cubic root of 420112140 is about 748.9538837550.

Adding to 420112140 its reverse (41211024), we get a palindrome (461323164).

The spelling of 420112140 in words is "four hundred twenty million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 191 210 382 420 573 764 955 1146 1337 1910 2292 2674 2865 3820 4011 5237 5348 5730 6685 8022 10474 11460 13370 15711 16044 20055 20948 26185 26740 31422 36659 40110 52370 62844 73318 78555 80220 104740 109977 146636 157110 183295 219954 314220 366590 439908 549885 733180 1000267 1099770 2000534 2199540 3000801 4001068 5001335 6001602 7001869 10002670 12003204 14003738 15004005 20005340 21005607 28007476 30008010 35009345 42011214 60016020 70018690 84022428 105028035 140037380 210056070 420112140