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114011064 = 2334296067
BaseRepresentation
bin1101100101110…
…10101110111000
321221112100210000
412302322232320
5213141323224
615151353000
72553035526
oct662725670
9257470700
10114011064
11593a1222
1232222760
131a80ac8b
14111db316
15a0210c9
hex6cbabb8

114011064 has 80 divisors (see below), whose sum is σ = 330402600. Its totient is φ = 36687168.

The previous prime is 114011063. The next prime is 114011071. The reversal of 114011064 is 460110411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114011063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15759 + ... + 21825.

Almost surely, 2114011064 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 114011064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165201300).

114011064 is an abundant number, since it is smaller than the sum of its proper divisors (216391536).

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

114011064 is a wasteful number, since it uses less digits than its factorization.

114011064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114011064 is about 10677.5963587317. The cubic root of 114011064 is about 484.8964443944.

Adding to 114011064 its reverse (460110411), we get a palindrome (574121475).

The spelling of 114011064 in words is "one hundred fourteen million, eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6067 6264 9396 12134 18201 18792 24268 36402 48536 54603 72804 109206 145608 163809 175943 218412 327618 351886 436824 491427 527829 655236 703772 982854 1055658 1310472 1407544 1583487 1965708 2111316 3166974 3931416 4222632 4750461 6333948 9500922 12667896 14251383 19001844 28502766 38003688 57005532 114011064