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112020720 = 24357131509
BaseRepresentation
bin1101010110101…
…00110011110000
321210210020112120
412223110303300
5212134130340
615040554240
72530106010
oct653246360
9253706476
10112020720
1158261909
1231622980
131a292066
1410c3dc40
159c7b4d0
hex6ad4cf0

112020720 has 160 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 25359360.

The previous prime is 112020697. The next prime is 112020749. The reversal of 112020720 is 27020211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112020720.

It is a congruent number.

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, 219826 + ... + 220334.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2112020720 is an apocalyptic number.

112020720 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 112020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

112020720 is an abundant number, since it is smaller than the sum of its proper divisors (288667920).

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

112020720 is a wasteful number, since it uses less digits than its factorization.

112020720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 112020720 is about 10583.9841269722. The cubic root of 112020720 is about 482.0581760901.

Adding to 112020720 its reverse (27020211), we get a palindrome (139040931).

The spelling of 112020720 in words is "one hundred twelve million, twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 131 140 168 210 240 262 280 336 393 420 509 524 560 655 786 840 917 1018 1048 1310 1527 1572 1680 1834 1965 2036 2096 2545 2620 2751 3054 3144 3563 3668 3930 4072 4585 5090 5240 5502 6108 6288 7126 7336 7635 7860 8144 9170 10180 10480 10689 11004 12216 13755 14252 14672 15270 15720 17815 18340 20360 21378 22008 24432 27510 28504 30540 31440 35630 36680 40720 42756 44016 53445 55020 57008 61080 66679 71260 73360 85512 106890 110040 122160 133358 142520 171024 200037 213780 220080 266716 285040 333395 400074 427560 466753 533432 666790 800148 855120 933506 1000185 1066864 1333580 1400259 1600296 1867012 2000370 2333765 2667160 2800518 3200592 3734024 4000740 4667530 5334320 5601036 7001295 7468048 8001480 9335060 11202072 14002590 16002960 18670120 22404144 28005180 37340240 56010360 112020720