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114408030 = 23511834177
BaseRepresentation
bin1101101000110…
…11101001011110
321222021112022110
412310123221132
5213242024110
615204054450
72556311052
oct664335136
9258245273
10114408030
11596424a0
1232394426
131a919879
14112a1c62
15a09da20
hex6d1ba5e

114408030 has 64 divisors (see below), whose sum is σ = 303222528. Its totient is φ = 27394560.

The previous prime is 114408023. The next prime is 114408071. The reversal of 114408030 is 30804411.

It is a junction number, because it is equal to n+sod(n) for n = 114407988 and 114408006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25302 + ... + 29478.

It is an arithmetic number, because the mean of its divisors is an integer number (4737852).

Almost surely, 2114408030 is an apocalyptic number.

114408030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114408030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151611264).

114408030 is an abundant number, since it is smaller than the sum of its proper divisors (188814498).

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

114408030 is a wasteful number, since it uses less digits than its factorization.

114408030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114408030 is about 10696.1689403263. The cubic root of 114408030 is about 485.4585665376.

The spelling of 114408030 in words is "one hundred fourteen million, four hundred eight thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1826 2490 2739 4177 4565 5478 8354 9130 12531 13695 20885 25062 27390 41770 45947 62655 91894 125310 137841 229735 275682 346691 459470 689205 693382 1040073 1378410 1733455 2080146 3466910 3813601 5200365 7627202 10400730 11440803 19068005 22881606 38136010 57204015 114408030