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112006720 = 2657311613
BaseRepresentation
bin1101010110100…
…01011001000000
321210202112100001
412223101121000
5212133203340
615040405344
72530020130
oct653213100
9253675301
10112006720
1158252341
1231616854
131a288887
1410c38ac0
159c7729a
hex6ad1640

112006720 has 112 divisors (see below), whose sum is σ = 314846208. Its totient is φ = 37140480.

The previous prime is 112006673. The next prime is 112006723. The reversal of 112006720 is 27600211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112006723) 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, 68634 + ... + 70246.

Almost surely, 2112006720 is an apocalyptic number.

112006720 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 112006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157423104).

112006720 is an abundant number, since it is smaller than the sum of its proper divisors (202839488).

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

112006720 is a wasteful number, since it uses less digits than its factorization.

112006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 112006720 is about 10583.3227296535. The cubic root of 112006720 is about 482.0380932113.

Adding to 112006720 its reverse (27600211), we get a palindrome (139606931).

The spelling of 112006720 in words is "one hundred twelve million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1613 1736 1984 2170 2240 2480 3226 3472 4340 4960 6452 6944 8065 8680 9920 11291 12904 13888 16130 17360 22582 25808 32260 34720 45164 50003 51616 56455 64520 69440 90328 100006 103232 112910 129040 180656 200012 225820 250015 258080 350021 361312 400024 451640 500030 516160 700042 722624 800048 903280 1000060 1400084 1600096 1750105 1806560 2000120 2800168 3200192 3500210 3613120 4000240 5600336 7000420 8000480 11200672 14000840 16000960 22401344 28001680 56003360 112006720