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112006320 = 243523103197
BaseRepresentation
bin1101010110100…
…01010010110000
321210202111210020
412223101102300
5212133200240
615040403440
72530016016
oct653212260
9253674706
10112006320
1158252008
1231616580
131a28863a
1410c388b6
159c770d0
hex6ad14b0

112006320 has 160 divisors (see below), whose sum is σ = 367690752. Its totient is φ = 28148736.

The previous prime is 112006313. The next prime is 112006327. The reversal of 112006320 is 23600211.

It is an interprime number because it is at equal distance from previous prime (112006313) and next prime (112006327).

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 112006320.

It is not an unprimeable number, because it can be changed into a prime (112006327) 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, 568462 + ... + 568658.

Almost surely, 2112006320 is an apocalyptic number.

112006320 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 112006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

112006320 is an abundant number, since it is smaller than the sum of its proper divisors (255684432).

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

112006320 is a wasteful number, since it uses less digits than its factorization.

112006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112006320 is about 10583.3038319799. The cubic root of 112006320 is about 482.0375193902.

Adding to 112006320 its reverse (23600211), we get a palindrome (135606531).

The spelling of 112006320 in words is "one hundred twelve million, six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 103 115 120 138 184 197 206 230 240 276 309 345 368 394 412 460 515 552 591 618 690 788 824 920 985 1030 1104 1182 1236 1380 1545 1576 1648 1840 1970 2060 2364 2369 2472 2760 2955 3090 3152 3940 4120 4531 4728 4738 4944 5520 5910 6180 7107 7880 8240 9062 9456 9476 11820 11845 12360 13593 14214 15760 18124 18952 20291 22655 23640 23690 24720 27186 28428 35535 36248 37904 40582 45310 47280 47380 54372 56856 60873 67965 71070 72496 81164 90620 94760 101455 108744 113712 121746 135930 142140 162328 181240 189520 202910 217488 243492 271860 284280 304365 324656 362480 405820 466693 486984 543720 568560 608730 811640 933386 973968 1087440 1217460 1400079 1623280 1866772 2333465 2434920 2800158 3733544 4666930 4869840 5600316 7000395 7467088 9333860 11200632 14000790 18667720 22401264 28001580 37335440 56003160 112006320