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112130480 = 245711109167
BaseRepresentation
bin1101010111011…
…11100110110000
321210222211002202
412223233212300
5212201133410
615043202332
72531044010
oct653574660
9253884082
10112130480
1158327320
12316763a8
131a2cccc7
1410c6bc40
159c9dca5
hex6aef9b0

112130480 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 34421760.

The previous prime is 112130479. The next prime is 112130483. The reversal of 112130480 is 84031211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671357 + ... + 671523.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2112130480 is an apocalyptic number.

112130480 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 112130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

112130480 is an abundant number, since it is smaller than the sum of its proper divisors (217848400).

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

112130480 is a wasteful number, since it uses less digits than its factorization.

112130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 112130480 is about 10589.1680504183. The cubic root of 112130480 is about 482.2155679067.

Adding to 112130480 its reverse (84031211), we get a palindrome (196161691).

The spelling of 112130480 in words is "one hundred twelve million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 109 110 112 140 154 167 176 218 220 280 308 334 385 436 440 545 560 616 668 763 770 835 872 880 1090 1169 1199 1232 1336 1526 1540 1670 1744 1837 2180 2338 2398 2672 3052 3080 3340 3674 3815 4360 4676 4796 5845 5995 6104 6160 6680 7348 7630 8393 8720 9185 9352 9592 11690 11990 12208 12859 13360 14696 15260 16786 18203 18370 18704 19184 23380 23980 25718 29392 30520 33572 36406 36740 41965 46760 47960 51436 61040 64295 67144 72812 73480 83930 91015 93520 95920 102872 127421 128590 134288 145624 146960 167860 182030 200233 205744 254842 257180 291248 335720 364060 400466 509684 514360 637105 671440 728120 800932 1001165 1019368 1028720 1274210 1401631 1456240 1601864 2002330 2038736 2548420 2803262 3203728 4004660 5096840 5606524 7008155 8009320 10193680 11213048 14016310 16018640 22426096 28032620 56065240 112130480