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112748544 = 211332039
BaseRepresentation
bin1101011100001…
…10100000000000
321212011012221000
412232012200000
5212330423134
615104332000
72536226646
oct656064000
9255135830
10112748544
1158709717
1231914000
131a48841c
1410d8d196
159d71e99
hex6b86800

112748544 has 96 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 37564416.

The previous prime is 112748533. The next prime is 112748561. The reversal of 112748544 is 445847211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112748499 and 112748508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54277 + ... + 56315.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2112748544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

112748544 is an abundant number, since it is smaller than the sum of its proper divisors (221403456).

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

112748544 is an equidigital number, since it uses as much as digits as its factorization.

112748544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2044 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 112748544 is about 10618.3117302140. The cubic root of 112748544 is about 483.0999368841.

The spelling of 112748544 in words is "one hundred twelve million, seven hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2039 2048 2304 3072 3456 4078 4608 6117 6144 6912 8156 9216 12234 13824 16312 18351 18432 24468 27648 32624 36702 48936 55053 55296 65248 73404 97872 110106 130496 146808 195744 220212 260992 293616 391488 440424 521984 587232 782976 880848 1043968 1174464 1565952 1761696 2087936 2348928 3131904 3523392 4175872 4697856 6263808 7046784 9395712 12527616 14093568 18791424 28187136 37582848 56374272 112748544