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112005520 = 24511177487
BaseRepresentation
bin1101010110100…
…01000110010000
321210202110200121
412223101012100
5212133134040
615040400024
72530013464
oct653210620
9253673617
10112005520
1158251450
1231616014
131a288173
1410c384a4
159c76c4a
hex6ad1190

112005520 has 80 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 38328320.

The previous prime is 112005499. The next prime is 112005529. The reversal of 112005520 is 25500211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112005494 and 112005503.

It is not an unprimeable number, because it can be changed into a prime (112005529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11217 + ... + 18703.

Almost surely, 2112005520 is an apocalyptic number.

112005520 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 112005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

112005520 is an abundant number, since it is smaller than the sum of its proper divisors (188832368).

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

112005520 is a wasteful number, since it uses less digits than its factorization.

112005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 112005520 is about 10583.2660365314. The cubic root of 112005520 is about 482.0363717438.

Adding to 112005520 its reverse (25500211), we get a palindrome (137505731).

The spelling of 112005520 in words is "one hundred twelve million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 7487 14960 14974 29948 37435 59896 74870 82357 119792 127279 149740 164714 254558 299480 329428 411785 509116 598960 636395 658856 823570 1018232 1272790 1317712 1400069 1647140 2036464 2545580 2800138 3294280 5091160 5600276 6588560 7000345 10182320 11200552 14000690 22401104 28001380 56002760 112005520