Search a number
-
+
112545450 = 2355259157
BaseRepresentation
bin1101011010101…
…00111010101010
321211202220100000
412231110322222
5212302423300
615100123430
72534422563
oct655247252
9254686300
10112545450
1158590076
1231836576
131a416b54
1410d3916a
159d31c00
hex6b54eaa

112545450 has 144 divisors (see below), whose sum is σ = 320916960. Its totient is φ = 29315520.

The previous prime is 112545449. The next prime is 112545473. The reversal of 112545450 is 54545211.

112545450 is a `hidden beast` number, since 112 + 5 + 4 + 545 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 716772 + ... + 716928.

It is an arithmetic number, because the mean of its divisors is an integer number (2228590).

Almost surely, 2112545450 is an apocalyptic number.

112545450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112545450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160458480).

112545450 is an abundant number, since it is smaller than the sum of its proper divisors (208371510).

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

112545450 is a wasteful number, since it uses less digits than its factorization.

112545450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 112545450 is about 10608.7440349930. The cubic root of 112545450 is about 482.8096931687.

The spelling of 112545450 in words is "one hundred twelve million, five hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 81 90 118 135 150 157 162 177 225 243 270 295 314 354 405 450 471 486 531 590 675 785 810 885 942 1062 1215 1350 1413 1475 1570 1593 1770 2025 2355 2430 2655 2826 2950 3186 3925 4050 4239 4425 4710 4779 5310 6075 7065 7850 7965 8478 8850 9263 9558 11775 12150 12717 13275 14130 14337 15930 18526 21195 23550 23895 25434 26550 27789 28674 35325 38151 39825 42390 46315 47790 55578 63585 70650 71685 76302 79650 83367 92630 105975 119475 127170 138945 143370 166734 190755 211950 231575 238950 250101 277890 317925 358425 381510 416835 463150 500202 635850 694725 716850 750303 833670 953775 1250505 1389450 1500606 1907550 2084175 2250909 2501010 3751515 4168350 4501818 6252525 7503030 11254545 12505050 18757575 22509090 37515150 56272725 112545450