Search a number
-
+
112467040 = 2557100417
BaseRepresentation
bin1101011010000…
…01110001100000
321211121220202221
412231001301200
5212242421130
615054320424
72533645150
oct655016140
9254556687
10112467040
1158537174
12317b9114
131a3ba25a
1410d18760
159d1887a
hex6b41c60

112467040 has 48 divisors (see below), whose sum is σ = 303664032. Its totient is φ = 38559744.

The previous prime is 112467031. The next prime is 112467041. The reversal of 112467040 is 40764211.

It is a junction number, because it is equal to n+sod(n) for n = 112466996 and 112467014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112467041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49089 + ... + 51328.

It is an arithmetic number, because the mean of its divisors is an integer number (6326334).

Almost surely, 2112467040 is an apocalyptic number.

112467040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112467040 is an abundant number, since it is smaller than the sum of its proper divisors (191196992).

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

112467040 is a wasteful number, since it uses less digits than its factorization.

112467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100439 (or 100431 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 112467040 is about 10605.0478546775. The cubic root of 112467040 is about 482.6975432089.

The spelling of 112467040 in words is "one hundred twelve million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 100417 200834 401668 502085 702919 803336 1004170 1405838 1606672 2008340 2811676 3213344 3514595 4016680 5623352 7029190 8033360 11246704 14058380 16066720 22493408 28116760 56233520 112467040