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112420420 = 225753109139
BaseRepresentation
bin1101011001101…
…10011001000100
321211112112211021
412230312121010
5212234423140
615053320524
72533362220
oct654663104
9254475737
10112420420
1158505142
1231796144
131a3a1c78
1410d05780
159d09b4a
hex6b36644

112420420 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 37200384.

The previous prime is 112420411. The next prime is 112420433. The reversal of 112420420 is 24024211.

112420420 = T489 + T490 + ... + T924.

It is a junction number, because it is equal to n+sod(n) for n = 112420394 and 112420403.

It is an unprimeable number.

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, 808711 + ... + 808849.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2112420420 is an apocalyptic number.

112420420 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 112420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

112420420 is an abundant number, since it is smaller than the sum of its proper divisors (166997180).

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

112420420 is a wasteful number, since it uses less digits than its factorization.

112420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 112420420 is about 10602.8496169662. The cubic root of 112420420 is about 482.6308378300.

Adding to 112420420 its reverse (24024211), we get a palindrome (136444631).

The spelling of 112420420 in words is "one hundred twelve million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 109 139 140 212 218 265 278 371 436 530 545 556 695 742 763 973 1060 1090 1390 1484 1526 1855 1946 2180 2780 3052 3710 3815 3892 4865 5777 7367 7420 7630 9730 11554 14734 15151 15260 19460 23108 28885 29468 30302 36835 40439 51569 57770 60604 73670 75755 80878 103138 106057 115540 147340 151510 161756 202195 206276 212114 257845 303020 404390 424228 515690 530285 803003 808780 1031380 1060570 1606006 2121140 3212012 4015015 5621021 8030030 11242042 16060060 22484084 28105105 56210210 112420420