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112150400 = 2752101347
BaseRepresentation
bin1101010111101…
…00011110000000
321211000211102112
412223310132000
5212202303100
615043434452
72531156045
oct653643600
9254024375
10112150400
115834028a
1231685a28
131a3090ab
1410c751cc
159ca4b35
hex6af4780

112150400 has 96 divisors (see below), whose sum is σ = 280595880. Its totient is φ = 44288000.

The previous prime is 112150397. The next prime is 112150403. The reversal of 112150400 is 4051211.

It is an interprime number because it is at equal distance from previous prime (112150397) and next prime (112150403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112150403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323027 + ... + 323373.

Almost surely, 2112150400 is an apocalyptic number.

112150400 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 112150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140297940).

112150400 is an abundant number, since it is smaller than the sum of its proper divisors (168445480).

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

112150400 is a wasteful number, since it uses less digits than its factorization.

112150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 112150400 is about 10590.1085924555. The cubic root of 112150400 is about 482.2441214434.

The spelling of 112150400 in words is "one hundred twelve million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 128 160 200 202 320 347 400 404 505 640 694 800 808 1010 1388 1600 1616 1735 2020 2525 2776 3200 3232 3470 4040 5050 5552 6464 6940 8080 8675 10100 11104 12928 13880 16160 17350 20200 22208 27760 32320 34700 35047 40400 44416 55520 64640 69400 70094 80800 111040 138800 140188 161600 175235 222080 277600 280376 323200 350470 555200 560752 700940 876175 1110400 1121504 1401880 1752350 2243008 2803760 3504700 4486016 5607520 7009400 11215040 14018800 22430080 28037600 56075200 112150400