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114424416 = 25321723371
BaseRepresentation
bin1101101000111…
…11101001100000
321222022100210100
412310133221200
5213243040131
615204302400
72556406611
oct664375140
9258270710
10114424416
1159653837
12323a1a00
131a924172
14112a7c08
15a0a37e6
hex6d1fa60

114424416 has 72 divisors (see below), whose sum is σ = 344550024. Its totient is φ = 35896320.

The previous prime is 114424397. The next prime is 114424417. The reversal of 114424416 is 614424411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114424416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114424417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6790 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (4785417).

Almost surely, 2114424416 is an apocalyptic number.

114424416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114424416 is an abundant number, since it is smaller than the sum of its proper divisors (230125608).

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

114424416 is a wasteful number, since it uses less digits than its factorization.

114424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23404 (or 23393 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 114424416 is about 10696.9348880883. The cubic root of 114424416 is about 485.4817419048.

Adding to 114424416 its reverse (614424411), we get a palindrome (728848827).

The spelling of 114424416 in words is "one hundred fourteen million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 23371 46742 70113 93484 140226 186968 210339 280452 373936 397307 420678 560904 747872 794614 841356 1121808 1191921 1589228 1682712 2243616 2383842 3178456 3365424 3575763 4767684 6356912 6730848 7151526 9535368 12713824 14303052 19070736 28606104 38141472 57212208 114424416