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114112050 = 235213139421
BaseRepresentation
bin1101100110100…
…11011000110010
321221201111022020
412303103120302
5213203041200
615153452310
72553636123
oct663233062
9257644266
10114112050
1159460088
1232271096
131a844c30
141122604a
15a040ea0
hex6cd3632

114112050 has 96 divisors (see below), whose sum is σ = 307688640. Its totient is φ = 27820800.

The previous prime is 114112049. The next prime is 114112057. The reversal of 114112050 is 50211411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (114112057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270840 + ... + 271260.

It is an arithmetic number, because the mean of its divisors is an integer number (3205090).

Almost surely, 2114112050 is an apocalyptic number.

114112050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114112050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153844320).

114112050 is an abundant number, since it is smaller than the sum of its proper divisors (193576590).

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

114112050 is a wasteful number, since it uses less digits than its factorization.

114112050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 114112050 is about 10682.3241853072. The cubic root of 114112050 is about 485.0395688126.

Adding to 114112050 its reverse (50211411), we get a palindrome (164323461).

The spelling of 114112050 in words is "one hundred fourteen million, one hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 139 150 195 278 325 390 417 421 650 695 834 842 975 1263 1390 1807 1950 2085 2105 2526 3475 3614 4170 4210 5421 5473 6315 6950 9035 10425 10525 10842 10946 12630 16419 18070 20850 21050 27105 27365 31575 32838 45175 54210 54730 58519 63150 82095 90350 117038 135525 136825 164190 175557 271050 273650 292595 351114 410475 585190 760747 820950 877785 1462975 1521494 1755570 2282241 2925950 3803735 4388925 4564482 7607470 8777850 11411205 19018675 22822410 38037350 57056025 114112050