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114685368 = 23371923161
BaseRepresentation
bin1101101010111…
…11010110111000
321222210121202020
412311133112320
5213324412433
615214034440
72561544450
oct665372670
9258717666
10114685368
11598118a6
12324a8a20
131a9b5b85
1411334d60
15a105cb3
hex6d5f5b8

114685368 has 192 divisors, whose sum is σ = 362833920. Its totient is φ = 29548800.

The previous prime is 114685367. The next prime is 114685379. The reversal of 114685368 is 863586411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114685367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880058 + ... + 1880118.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 2114685368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114685368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

114685368 is an abundant number, since it is smaller than the sum of its proper divisors (248148552).

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

114685368 is a wasteful number, since it uses less digits than its factorization.

114685368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 114685368 is about 10709.1254544897. The cubic root of 114685368 is about 485.8505188133.

It can be divided in two parts, 11468 and 5368, that added together give a triangular number (16836 = T183).

The spelling of 114685368 in words is "one hundred fourteen million, six hundred eighty-five thousand, three hundred sixty-eight".