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114685740 = 223351317312
BaseRepresentation
bin1101101010111…
…11011100101100
321222210122021000
412311133130230
5213324420430
615214040300
72561545521
oct665373454
9258718230
10114685740
1159812104
12324a9090
131a9b60b0
1411335148
15a105e60
hex6d5f72c

114685740 has 288 divisors, whose sum is σ = 420396480. Its totient is φ = 25712640.

The previous prime is 114685657. The next prime is 114685787. The reversal of 114685740 is 47586411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114685695 and 114685704.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3699525 + ... + 3699555.

It is an arithmetic number, because the mean of its divisors is an integer number (1459710).

Almost surely, 2114685740 is an apocalyptic number.

114685740 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 114685740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210198240).

114685740 is an abundant number, since it is smaller than the sum of its proper divisors (305710740).

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

114685740 is a wasteful number, since it uses less digits than its factorization.

114685740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114685740 is about 10709.1428228407. The cubic root of 114685740 is about 485.8510441235.

The spelling of 114685740 in words is "one hundred fourteen million, six hundred eighty-five thousand, seven hundred forty".