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114433152 = 273319613
BaseRepresentation
bin1101101001000…
…01110010000000
321222022210202220
412310201302000
5213243330102
615204411040
72556444231
oct664416200
9258283686
10114433152
115965a359
12323a6a80
131a928132
14112ab088
15a0a61bc
hex6d21c80

114433152 has 64 divisors (see below), whose sum is σ = 313800960. Its totient is φ = 36910080.

The previous prime is 114433147. The next prime is 114433153. The reversal of 114433152 is 251334411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114433153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7098 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (4903140).

Almost surely, 2114433152 is an apocalyptic number.

114433152 is a gapful number since it is divisible by the number (12) 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 114433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156900480).

114433152 is an abundant number, since it is smaller than the sum of its proper divisors (199367808).

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

114433152 is an equidigital number, since it uses as much as digits as its factorization.

114433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9649 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 114433152 is about 10697.3432215667. The cubic root of 114433152 is about 485.4940966706.

Adding to 114433152 its reverse (251334411), we get a palindrome (365767563).

The spelling of 114433152 in words is "one hundred fourteen million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 9613 11904 19226 28839 38452 57678 76904 115356 153808 230712 298003 307616 461424 596006 615232 894009 922848 1192012 1230464 1788018 1845696 2384024 3576036 3691392 4768048 7152072 9536096 14304144 19072192 28608288 38144384 57216576 114433152