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114744896 = 267416247
BaseRepresentation
bin1101101011011…
…01111001000000
321222220122101222
412311231321000
5213333314041
615215214212
72562213140
oct665557100
9258818358
10114744896
11598525a2
1232517368
131aa06cb6
141134c920
15a11874b
hex6d6de40

114744896 has 56 divisors (see below), whose sum is σ = 266614656. Its totient is φ = 47969280.

The previous prime is 114744859. The next prime is 114744899. The reversal of 114744896 is 698447411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1147448963 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114744899) 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, 15245 + ... + 21491.

It is an arithmetic number, because the mean of its divisors is an integer number (4760976).

Almost surely, 2114744896 is an apocalyptic number.

114744896 is a gapful number since it is divisible by the number (16) 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 114744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133307328).

114744896 is an abundant number, since it is smaller than the sum of its proper divisors (151869760).

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

114744896 is an equidigital number, since it uses as much as digits as its factorization.

114744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6297 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 114744896 is about 10711.9044058468. The cubic root of 114744896 is about 485.9345653011.

The spelling of 114744896 in words is "one hundred fourteen million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 6247 9184 12494 18368 24988 43729 49976 87458 99952 174916 199904 256127 349832 399808 512254 699664 1024508 1399328 1792889 2049016 2798656 3585778 4098032 7171556 8196064 14343112 16392128 28686224 57372448 114744896