Search a number
-
+
112453920 = 253458677
BaseRepresentation
bin1101011001111…
…10100100100000
321211121020210000
412230332210200
5212242011140
615054140000
72533561665
oct654764440
9254536700
10112453920
1158528327
12317b1600
131a3b42a7
1410d13a6c
159d14a30
hex6b3e920

112453920 has 120 divisors (see below), whose sum is σ = 396914364. Its totient is φ = 29984256.

The previous prime is 112453907. The next prime is 112453921. The reversal of 112453920 is 29354211.

112453920 is a `hidden beast` number, since 1 + 124 + 539 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 4210704 = 10404^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (112453921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8622 + ... + 17298.

Almost surely, 2112453920 is an apocalyptic number.

112453920 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 112453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198457182).

112453920 is an abundant number, since it is smaller than the sum of its proper divisors (284460444).

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

112453920 is an equidigital number, since it uses as much as digits as its factorization.

112453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 112453920 is about 10604.4292632843. The cubic root of 112453920 is about 482.6787725598.

The spelling of 112453920 in words is "one hundred twelve million, four hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 8677 12960 17354 26031 34708 43385 52062 69416 78093 86770 104124 130155 138832 156186 173540 208248 234279 260310 277664 312372 347080 390465 416496 468558 520620 624744 694160 702837 780930 832992 937116 1041240 1171395 1249488 1388320 1405674 1561860 1874232 2082480 2342790 2498976 2811348 3123720 3514185 3748464 4164960 4685580 5622696 6247440 7028370 7496928 9371160 11245392 12494880 14056740 18742320 22490784 28113480 37484640 56226960 112453920