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114894945 = 32511221101
BaseRepresentation
bin1101101100100…
…10100001100001
322000012021020100
412312102201201
5213403114240
615222333013
72563406454
oct666224141
9260167210
10114894945
1159945300
123258a169
131aa5a399
141138b49b
15a147e30
hex6d92861

114894945 has 36 divisors (see below), whose sum is σ = 218912148. Its totient is φ = 55704000.

The previous prime is 114894911. The next prime is 114894961. The reversal of 114894945 is 549498411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 81162081 = 5808^2 + 9009^2 .

It is not a de Polignac number, because 114894945 - 210 = 114893921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114894945.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5106 + ... + 15995.

It is an arithmetic number, because the mean of its divisors is an integer number (6080893).

Almost surely, 2114894945 is an apocalyptic number.

114894945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114894945 is a deficient number, since it is larger than the sum of its proper divisors (104017203).

114894945 is a wasteful number, since it uses less digits than its factorization.

114894945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21134 (or 21120 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 114894945 is about 10718.9059609645. The cubic root of 114894945 is about 486.1462878224.

The spelling of 114894945 in words is "one hundred fourteen million, eight hundred ninety-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 21101 63303 105505 189909 232111 316515 696333 949545 1160555 2088999 2553221 3481665 7659663 10444995 12766105 22978989 38298315 114894945