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114134140 = 225192910357
BaseRepresentation
bin1101100110110…
…00110001111100
321221202121121101
412303120301330
5213204243030
615154142444
72554060411
oct663306174
9257677541
10114134140
115947573a
1232281a24
131a851cc3
1411230108
15a0477ca
hex6cd8c7c

114134140 has 48 divisors (see below), whose sum is σ = 261021600. Its totient is φ = 41755392.

The previous prime is 114134131. The next prime is 114134147. The reversal of 114134140 is 41431411.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114134147) 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, 5842 + ... + 16198.

It is an arithmetic number, because the mean of its divisors is an integer number (5437950).

Almost surely, 2114134140 is an apocalyptic number.

114134140 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 114134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130510800).

114134140 is an abundant number, since it is smaller than the sum of its proper divisors (146887460).

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

114134140 is a wasteful number, since it uses less digits than its factorization.

114134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10412 counting only the distinct ones).

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

The square root of 114134140 is about 10683.3580862948. The cubic root of 114134140 is about 485.0708650481.

Adding to 114134140 its reverse (41431411), we get a palindrome (155565551).

The spelling of 114134140 in words is "one hundred fourteen million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 10357 11020 20714 41428 51785 103570 196783 207140 300353 393566 600706 787132 983915 1201412 1501765 1967830 3003530 3935660 5706707 6007060 11413414 22826828 28533535 57067070 114134140