Search a number
-
+
112501620 = 223257118117
BaseRepresentation
bin1101011010010…
…10001101110100
321211200200012200
412231022031310
5212300022440
615055144500
72534151030
oct655121564
9254620180
10112501620
1158560150
1231815130
131a3ccc0a
1410d271c0
159d23c30
hex6b4a374

112501620 has 144 divisors (see below), whose sum is σ = 425513088. Its totient is φ = 23374080.

The previous prime is 112501601. The next prime is 112501633. The reversal of 112501620 is 26105211.

It is a super-2 number, since 2×1125016202 = 25313229005248800, which contains 22 as substring.

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 = 112501593 and 112501602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9802 + ... + 17918.

It is an arithmetic number, because the mean of its divisors is an integer number (2954952).

Almost surely, 2112501620 is an apocalyptic number.

112501620 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 112501620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212756544).

112501620 is an abundant number, since it is smaller than the sum of its proper divisors (313011468).

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

112501620 is a wasteful number, since it uses less digits than its factorization.

112501620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112501620 is about 10606.6780850557. The cubic root of 112501620 is about 482.7470094662.

Adding to 112501620 its reverse (26105211), we get a palindrome (138606831).

The spelling of 112501620 in words is "one hundred twelve million, five hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 8117 13860 16234 24351 32468 40585 48702 56819 73053 81170 89287 97404 113638 121755 146106 162340 170457 178574 227276 243510 267861 284095 292212 340914 357148 365265 446435 487020 511371 535722 568190 625009 681828 730530 803583 852285 892870 1022742 1071444 1136380 1250018 1339305 1461060 1607166 1704570 1785740 1875027 2045484 2500036 2556855 2678610 3125045 3214332 3409140 3750054 4017915 5113710 5357220 5625081 6250090 7500108 8035830 9375135 10227420 11250162 12500180 16071660 18750270 22500324 28125405 37500540 56250810 112501620