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114105048 = 233311031489
BaseRepresentation
bin1101100110100…
…01101011011000
321221201010200220
412303101223120
5213202330143
615153400040
72553606531
oct663215330
9257633626
10114105048
11594558a2
1232269020
131a8419a5
1411223688
15a03dd83
hex6cd1ad8

114105048 has 64 divisors (see below), whose sum is σ = 297523200. Its totient is φ = 36426240.

The previous prime is 114105011. The next prime is 114105067. The reversal of 114105048 is 840501411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75888 + ... + 77376.

It is an arithmetic number, because the mean of its divisors is an integer number (4648800).

Almost surely, 2114105048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114105048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148761600).

114105048 is an abundant number, since it is smaller than the sum of its proper divisors (183418152).

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

114105048 is a wasteful number, since it uses less digits than its factorization.

114105048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 114105048 is about 10681.9964426132. The cubic root of 114105048 is about 485.0296478139.

Adding to 114105048 its reverse (840501411), we get a palindrome (954606459).

The spelling of 114105048 in words is "one hundred fourteen million, one hundred five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 618 744 824 1236 1489 2472 2978 3193 4467 5956 6386 8934 9579 11912 12772 17868 19158 25544 35736 38316 46159 76632 92318 138477 153367 184636 276954 306734 369272 460101 553908 613468 920202 1107816 1226936 1840404 3680808 4754377 9508754 14263131 19017508 28526262 38035016 57052524 114105048