Search a number
-
+
112493040 = 24351142611
BaseRepresentation
bin1101011010010…
…00000111110000
321211200020102220
412231020013300
5212244234130
615055041040
72534114022
oct655100760
9254606386
10112493040
1158554760
1231810180
131a3c903a
1410d24012
159d21410
hex6b481f0

112493040 has 80 divisors (see below), whose sum is σ = 380439936. Its totient is φ = 27270400.

The previous prime is 112493033. The next prime is 112493047. The reversal of 112493040 is 40394211.

It is an interprime number because it is at equal distance from previous prime (112493033) and next prime (112493047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112493040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112493047) 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, 18666 + ... + 23945.

Almost surely, 2112493040 is an apocalyptic number.

112493040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112493040 is an abundant number, since it is smaller than the sum of its proper divisors (267946896).

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

112493040 is a wasteful number, since it uses less digits than its factorization.

112493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42638 (or 42632 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 112493040 is about 10606.2736151770. The cubic root of 112493040 is about 482.7347368292.

The spelling of 112493040 in words is "one hundred twelve million, four hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 42611 85222 127833 170444 213055 255666 340888 426110 468721 511332 639165 681776 852220 937442 1022664 1278330 1406163 1704440 1874884 2045328 2343605 2556660 2812326 3408880 3749768 4687210 5113320 5624652 7030815 7499536 9374420 10226640 11249304 14061630 18748840 22498608 28123260 37497680 56246520 112493040