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112420440 = 23335119463
BaseRepresentation
bin1101011001101…
…10011001011000
321211112112212000
412230312121120
5212234423230
615053321000
72533362246
oct654663130
9254475760
10112420440
1158505160
1231796160
131a3a1c92
1410d05796
159d09b60
hex6b36658

112420440 has 128 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 27250560.

The previous prime is 112420433. The next prime is 112420457. The reversal of 112420440 is 44024211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7149 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2112420440 is an apocalyptic number.

112420440 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 112420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

112420440 is an abundant number, since it is smaller than the sum of its proper divisors (296424360).

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

112420440 is a wasteful number, since it uses less digits than its factorization.

112420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 112420440 is about 10602.8505601088. The cubic root of 112420440 is about 482.6308664506.

Adding to 112420440 its reverse (44024211), we get a palindrome (156444651).

The spelling of 112420440 in words is "one hundred twelve million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 9463 11880 18926 28389 37852 47315 56778 75704 85167 94630 104093 113556 141945 170334 189260 208186 227112 255501 283890 312279 340668 378520 416372 425835 511002 520465 567780 624558 681336 832744 851670 936837 1022004 1040930 1135560 1249116 1277505 1561395 1703340 1873674 2044008 2081860 2498232 2555010 2810511 3122790 3406680 3747348 4163720 4684185 5110020 5621022 6245580 7494696 9368370 10220040 11242044 12491160 14052555 18736740 22484088 28105110 37473480 56210220 112420440