Search a number
-
+
112990416 = 243711191609
BaseRepresentation
bin1101011110000…
…01100011010000
321212121111201020
412233001203100
5212411143131
615113435440
72541255060
oct657014320
9255544636
10112990416
1158864410
1231a0bb80
131a541546
14110133a0
159dbd996
hex6bc18d0

112990416 has 160 divisors (see below), whose sum is σ = 383308800. Its totient is φ = 27786240.

The previous prime is 112990391. The next prime is 112990433. The reversal of 112990416 is 614099211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69420 + ... + 71028.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2112990416 is an apocalyptic number.

112990416 is a gapful number since it is divisible by the number (16) 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 112990416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191654400).

112990416 is an abundant number, since it is smaller than the sum of its proper divisors (270318384).

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

112990416 is a wasteful number, since it uses less digits than its factorization.

112990416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 112990416 is about 10629.6950097357. The cubic root of 112990416 is about 483.4451442738.

It can be divided in two parts, 112 and 990416, that added together give a triangular number (990528 = T1407).

The spelling of 112990416 in words is "one hundred twelve million, nine hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1609 1672 1848 2128 2508 2926 3192 3218 3344 3696 4389 4827 5016 5852 6384 6436 8778 9654 10032 11263 11704 12872 17556 17699 19308 22526 23408 25744 30571 33789 35112 35398 38616 45052 53097 61142 67578 70224 70796 77232 90104 91713 106194 122284 123893 135156 141592 180208 183426 212388 213997 244568 247786 270312 283184 336281 366852 371679 424776 427994 489136 495572 540624 641991 672562 733704 743358 849552 855988 991144 1008843 1283982 1345124 1467408 1486716 1711976 1982288 2017686 2353967 2567964 2690248 2973432 3423952 4035372 4707934 5135928 5380496 5946864 7061901 8070744 9415868 10271856 14123802 16141488 18831736 28247604 37663472 56495208 112990416