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114135552 = 2932173147
BaseRepresentation
bin1101100110110…
…01001000000000
321221202200112200
412303121020000
5213204314202
615154153200
72554064466
oct663311000
9257680480
10114135552
1159476803
1232282800
131a85283b
1411230836
15a047e1c
hex6cd9200

114135552 has 240 divisors, whose sum is σ = 367690752. Its totient is φ = 33914880.

The previous prime is 114135493. The next prime is 114135577. The reversal of 114135552 is 255531411.

Its product of digits (3000) is a multiple of the sum of its prime divisors (100).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428393 + ... + 2428439.

Almost surely, 2114135552 is an apocalyptic number.

114135552 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 114135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

114135552 is an abundant number, since it is smaller than the sum of its proper divisors (253555200).

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

114135552 is a wasteful number, since it uses less digits than its factorization.

114135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 114135552 is about 10683.4241701806. The cubic root of 114135552 is about 485.0728653764.

Adding to 114135552 its reverse (255531411), we get a palindrome (369666963).

The spelling of 114135552 in words is "one hundred fourteen million, one hundred thirty-five thousand, five hundred fifty-two".