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114322040 = 23572811453
BaseRepresentation
bin1101101000001…
…10101001111000
321222010011100122
412310012221320
5213231301130
615202152412
72555502260
oct664065170
9258104318
10114322040
1159593928
1232352708
131a8b96a1
141127c7a0
15a0832e5
hex6d06a78

114322040 has 64 divisors (see below), whose sum is σ = 295220160. Its totient is φ = 39029760.

The previous prime is 114322037. The next prime is 114322049. The reversal of 114322040 is 40223411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114322049) 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 15 ways as a sum of consecutive naturals, for example, 77954 + ... + 79406.

It is an arithmetic number, because the mean of its divisors is an integer number (4612815).

Almost surely, 2114322040 is an apocalyptic number.

114322040 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 114322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147610080).

114322040 is an abundant number, since it is smaller than the sum of its proper divisors (180898120).

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

114322040 is a wasteful number, since it uses less digits than its factorization.

114322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114322040 is about 10692.1485212281. The cubic root of 114322040 is about 485.3369111927.

Adding to 114322040 its reverse (40223411), we get a palindrome (154545451).

The spelling of 114322040 in words is "one hundred fourteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1453 1967 2248 2810 2906 3934 5620 5812 7265 7868 9835 10171 11240 11624 14530 15736 19670 20342 29060 39340 40684 50855 58120 78680 81368 101710 203420 406840 408293 816586 1633172 2041465 2858051 3266344 4082930 5716102 8165860 11432204 14290255 16331720 22864408 28580510 57161020 114322040