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114521352 = 23311587739
BaseRepresentation
bin1101101001101…
…11010100001000
321222111021202120
412310313110020
5213304140402
615210331240
72560262331
oct664672410
9258437676
10114521352
115970a650
1232429b20
131a95931a
14112d1288
15a0c23bc
hex6d37508

114521352 has 64 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 34597440.

The previous prime is 114521321. The next prime is 114521357. The reversal of 114521352 is 253125411.

It is a happy number.

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 (114521357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154599 + ... + 155337.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2114521352 is an apocalyptic number.

114521352 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 114521352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

114521352 is an abundant number, since it is smaller than the sum of its proper divisors (198765048).

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

114521352 is a wasteful number, since it uses less digits than its factorization.

114521352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 114521352 is about 10701.4649464454. The cubic root of 114521352 is about 485.6187970798.

Adding to 114521352 its reverse (253125411), we get a palindrome (367646763).

The spelling of 114521352 in words is "one hundred fourteen million, five hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 587 739 1174 1478 1761 2217 2348 2956 3522 4434 4696 5912 6457 7044 8129 8868 12914 14088 16258 17736 19371 24387 25828 32516 38742 48774 51656 65032 77484 97548 154968 195096 433793 867586 1301379 1735172 2602758 3470344 4771723 5205516 9543446 10411032 14315169 19086892 28630338 38173784 57260676 114521352