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112523320 = 235713191627
BaseRepresentation
bin1101011010011…
…11100000111000
321211201202222101
412231033200320
5212301221240
615055433144
72534301220
oct655174070
9254652871
10112523320
1158575488
12318257b4
131a409a60
1410d31080
159d2a39a
hex6b4f838

112523320 has 128 divisors (see below), whose sum is σ = 328204800. Its totient is φ = 33716736.

The previous prime is 112523309. The next prime is 112523321. The reversal of 112523320 is 23325211.

It is a super-2 number, since 2×1125233202 = 25322995087644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112523321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68347 + ... + 69973.

It is an arithmetic number, because the mean of its divisors is an integer number (2564100).

Almost surely, 2112523320 is an apocalyptic number.

112523320 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 112523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164102400).

112523320 is an abundant number, since it is smaller than the sum of its proper divisors (215681480).

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

112523320 is a wasteful number, since it uses less digits than its factorization.

112523320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 112523320 is about 10607.7009761776. The cubic root of 112523320 is about 482.7780458686.

Adding to 112523320 its reverse (23325211), we get a palindrome (135848531).

The spelling of 112523320 in words is "one hundred twelve million, five hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1627 1729 1820 1976 2470 2660 3254 3458 3640 4940 5320 6508 6916 8135 8645 9880 11389 13016 13832 16270 17290 21151 22778 30913 32540 34580 42302 45556 56945 61826 65080 69160 84604 91112 105755 113890 123652 148057 154565 169208 211510 216391 227780 247304 296114 309130 401869 423020 432782 455560 592228 618260 740285 803738 846040 865564 1081955 1184456 1236520 1480570 1607476 1731128 2009345 2163910 2813083 2961140 3214952 4018690 4327820 5626166 5922280 8037380 8655640 11252332 14065415 16074760 22504664 28130830 56261660 112523320