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112749780 = 2235111317773
BaseRepresentation
bin1101011100001…
…10110011010100
321212011021121210
412232012303110
5212330443110
615104341420
72536233363
oct656066324
9255137553
10112749780
115870a640
1231914870
131a488b60
1410d8d7da
159d72520
hex6b86cd4

112749780 has 192 divisors, whose sum is σ = 393216768. Its totient is φ = 23715840.

The previous prime is 112749731. The next prime is 112749823. The reversal of 112749780 is 87947211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 773 × 195 × 748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145474 + ... + 146246.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 2112749780 is an apocalyptic number.

112749780 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 112749780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608384).

112749780 is an abundant number, since it is smaller than the sum of its proper divisors (280466988).

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

112749780 is a wasteful number, since it uses less digits than its factorization.

112749780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 112749780 is about 10618.3699313972. The cubic root of 112749780 is about 483.1017021969.

The spelling of 112749780 in words is "one hundred twelve million, seven hundred forty-nine thousand, seven hundred eighty".