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114409716 = 223193116187
BaseRepresentation
bin1101101000111…
…00000011110100
321222021121121220
412310130003310
5213242102331
615204110340
72556316011
oct664340364
9258247556
10114409716
1159643793
12323953b0
131a91a575
14112a2708
15a09e296
hex6d1c0f4

114409716 has 48 divisors (see below), whose sum is σ = 290088960. Its totient is φ = 34961760.

The previous prime is 114409699. The next prime is 114409723. The reversal of 114409716 is 617904411.

It is a congruent number.

It is an unprimeable number.

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, 1026 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (6043520).

Almost surely, 2114409716 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 114409716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145044480).

114409716 is an abundant number, since it is smaller than the sum of its proper divisors (175679244).

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

114409716 is a wasteful number, since it uses less digits than its factorization.

114409716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 114409716 is about 10696.2477533012. The cubic root of 114409716 is about 485.4609512161.

The spelling of 114409716 in words is "one hundred fourteen million, four hundred nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 16187 32374 48561 64748 97122 194244 307553 501797 615106 922659 1003594 1230212 1505391 1845318 2007188 3010782 3690636 6021564 9534143 19068286 28602429 38136572 57204858 114409716