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114031400 = 23527471733
BaseRepresentation
bin1101100101111…
…11101100101000
321221120101200012
412302333230220
5213143001100
615152031052
72553152030
oct662775450
9257511605
10114031400
115940552a
1232232488
131a817302
14112048c0
15a027135
hex6cbfb28

114031400 has 96 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 38242560.

The previous prime is 114031303. The next prime is 114031409. The reversal of 114031400 is 4130411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (114031409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64934 + ... + 66666.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2114031400 is an apocalyptic number.

114031400 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 114031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

114031400 is an abundant number, since it is smaller than the sum of its proper divisors (195591640).

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

114031400 is a wasteful number, since it uses less digits than its factorization.

114031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114031400 is about 10678.5485905155. The cubic root of 114031400 is about 484.9252727891.

Adding to 114031400 its reverse (4130411), we get a palindrome (118161811).

The spelling of 114031400 in words is "one hundred fourteen million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1733 1880 2350 2632 3290 3466 4700 6580 6932 8225 8665 9400 12131 13160 13864 16450 17330 24262 32900 34660 43325 48524 60655 65800 69320 81451 86650 97048 121310 162902 173300 242620 303275 325804 346600 407255 485240 570157 606550 651608 814510 1140314 1213100 1629020 2036275 2280628 2426200 2850785 3258040 4072550 4561256 5701570 8145100 11403140 14253925 16290200 22806280 28507850 57015700 114031400