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115004416 = 2101923257
BaseRepresentation
bin1101101101011…
…01010000000000
322000101211101211
412312231100000
5213420120131
615224535504
72564343562
oct666552000
9260354354
10115004416
1159a0a57a
1232621594
131aa98167
14113b9332
15a16a5b1
hex6dad400

115004416 has 88 divisors (see below), whose sum is σ = 253500480. Its totient is φ = 51904512.

The previous prime is 115004369. The next prime is 115004423. The reversal of 115004416 is 614400511.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447360 + ... + 447616.

Almost surely, 2115004416 is an apocalyptic number.

115004416 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 115004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126750240).

115004416 is an abundant number, since it is smaller than the sum of its proper divisors (138496064).

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

115004416 is a wasteful number, since it uses less digits than its factorization.

115004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 115004416 is about 10724.0111898487. The cubic root of 115004416 is about 486.3006375982.

Adding to 115004416 its reverse (614400511), we get a palindrome (729404927).

The spelling of 115004416 in words is "one hundred fifteen million, four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 257 304 368 437 512 514 608 736 874 1024 1028 1216 1472 1748 2056 2432 2944 3496 4112 4864 4883 5888 5911 6992 8224 9728 9766 11776 11822 13984 16448 19456 19532 23552 23644 27968 32896 39064 47288 55936 65792 78128 94576 111872 112309 131584 156256 189152 223744 224618 263168 312512 378304 447488 449236 625024 756608 898472 1250048 1513216 1796944 2500096 3026432 3593888 5000192 6052864 7187776 14375552 28751104 57502208 115004416