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114126040 = 23571972069
BaseRepresentation
bin1101100110101…
…10110011011000
321221202012111101
412303112303120
5213204013130
615154041144
72554024660
oct663266330
9257665441
10114126040
115946a646
12322791b4
131a84b402
141122b1a0
15a0451ca
hex6cd6cd8

114126040 has 64 divisors (see below), whose sum is σ = 295099200. Its totient is φ = 38911488.

The previous prime is 114126031. The next prime is 114126041. The reversal of 114126040 is 40621411.

It is a junction number, because it is equal to n+sod(n) for n = 114125999 and 114126017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114126041) 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, 54126 + ... + 56194.

It is an arithmetic number, because the mean of its divisors is an integer number (4610925).

Almost surely, 2114126040 is an apocalyptic number.

114126040 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 114126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147549600).

114126040 is an abundant number, since it is smaller than the sum of its proper divisors (180973160).

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

114126040 is a wasteful number, since it uses less digits than its factorization.

114126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 114126040 is about 10682.9789852831. The cubic root of 114126040 is about 485.0593897585.

Adding to 114126040 its reverse (40621411), we get a palindrome (154747451).

The spelling of 114126040 in words is "one hundred fourteen million, one hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1379 1576 1970 2069 2758 3940 4138 5516 6895 7880 8276 10345 11032 13790 14483 16552 20690 27580 28966 41380 55160 57932 72415 82760 115864 144830 289660 407593 579320 815186 1630372 2037965 2853151 3260744 4075930 5706302 8151860 11412604 14265755 16303720 22825208 28531510 57063020 114126040