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112454040 = 2335979661
BaseRepresentation
bin1101011001111…
…10100110011000
321211121020221110
412230332212120
5212242012130
615054140320
72533562226
oct654764630
9254536843
10112454040
1158528426
12317b16a0
131a3b436a
1410d13b16
159d14ab0
hex6b3e998

112454040 has 64 divisors (see below), whose sum is σ = 340875360. Its totient is φ = 29675520.

The previous prime is 112454029. The next prime is 112454047. The reversal of 112454040 is 40454211.

It is a happy number.

It is a super-2 number, since 2×1124540402 = 25291822224643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112453998 and 112454016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112454047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6810 + ... + 16470.

Almost surely, 2112454040 is an apocalyptic number.

112454040 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 112454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170437680).

112454040 is an abundant number, since it is smaller than the sum of its proper divisors (228421320).

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

112454040 is a wasteful number, since it uses less digits than its factorization.

112454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 112454040 is about 10604.4349212959. The cubic root of 112454040 is about 482.6789442491.

The spelling of 112454040 in words is "one hundred twelve million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 9661 11640 19322 28983 38644 48305 57966 77288 96610 115932 144915 193220 231864 289830 386440 579660 937117 1159320 1874234 2811351 3748468 4685585 5622702 7496936 9371170 11245404 14056755 18742340 22490808 28113510 37484680 56227020 112454040