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112710048 = 25311231313
BaseRepresentation
bin1101011011111…
…01000110100000
321212002021010020
412231331012200
5212323210143
615103433440
72536006503
oct655750640
9255067106
10112710048
1158692800
12318b5880
131a473a49
1410d7d13a
159d65883
hex6b7d1a0

112710048 has 144 divisors (see below), whose sum is σ = 336768768. Its totient is φ = 32947200.

The previous prime is 112710047. The next prime is 112710061. The reversal of 112710048 is 840017211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112710043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359940 + ... + 360252.

It is an arithmetic number, because the mean of its divisors is an integer number (2338672).

Almost surely, 2112710048 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 112710048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168384384).

112710048 is an abundant number, since it is smaller than the sum of its proper divisors (224058720).

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

112710048 is a wasteful number, since it uses less digits than its factorization.

112710048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 112710048 is about 10616.4988579098. The cubic root of 112710048 is about 483.0449486436.

Adding to 112710048 its reverse (840017211), we get a palindrome (952727259).

It can be divided in two parts, 1127 and 10048, that added together give a triangular number (11175 = T149).

The spelling of 112710048 in words is "one hundred twelve million, seven hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 313 341 352 363 372 484 496 528 626 682 726 744 939 968 992 1023 1056 1252 1364 1452 1488 1878 1936 2046 2504 2728 2904 2976 3443 3751 3756 3872 4092 5008 5456 5808 6886 7502 7512 8184 9703 10016 10329 10912 11253 11616 13772 15004 15024 16368 19406 20658 22506 27544 29109 30008 30048 32736 37873 38812 41316 45012 55088 58218 60016 75746 77624 82632 90024 106733 110176 113619 116436 120032 151492 155248 165264 180048 213466 227238 232872 302984 310496 320199 330528 360096 426932 454476 465744 605968 640398 853864 908952 931488 1174063 1211936 1280796 1707728 1817904 2348126 2561592 3415456 3522189 3635808 4696252 5123184 7044378 9392504 10246368 14088756 18785008 28177512 37570016 56355024 112710048