Search a number
-
+
112974048 = 25331111887
BaseRepresentation
bin1101011101111…
…01100011100000
321212120200021000
412232331203200
5212410132143
615113232000
72541156255
oct656754340
9255520230
10112974048
1158853090
1231a02600
131a536c65
141100b42c
159db8bd3
hex6bbd8e0

112974048 has 96 divisors (see below), whose sum is σ = 359493120. Its totient is φ = 34231680.

The previous prime is 112974047. The next prime is 112974049. The reversal of 112974048 is 840479211.

It is an interprime number because it is at equal distance from previous prime (112974047) and next prime (112974049).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (112974047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 15447.

It is an arithmetic number, because the mean of its divisors is an integer number (3744720).

Almost surely, 2112974048 is an apocalyptic number.

112974048 is a gapful number since it is divisible by the number (18) 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 112974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179746560).

112974048 is an abundant number, since it is smaller than the sum of its proper divisors (246519072).

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

112974048 is a wasteful number, since it uses less digits than its factorization.

112974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112974048 is about 10628.9250632413. The cubic root of 112974048 is about 483.4217988948.

The spelling of 112974048 in words is "one hundred twelve million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 11887 23774 35661 47548 71322 95096 106983 130757 142644 190192 213966 261514 285288 320949 380384 392271 427932 523028 570576 641898 784542 855864 1046056 1141152 1176813 1283796 1569084 1711728 2092112 2353626 2567592 3138168 3423456 3530439 4184224 4707252 5135184 6276336 7060878 9414504 10270368 12552672 14121756 18829008 28243512 37658016 56487024 112974048