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114768648 = 23324393631
BaseRepresentation
bin1101101011100…
…11101100001000
321222221211222200
412311303230020
5213340044043
615215520200
72562342321
oct665635410
9258854880
10114768648
1159869425
1232529060
131aa14a57
1411357448
15a1207d3
hex6d73b08

114768648 has 48 divisors (see below), whose sum is σ = 311625600. Its totient is φ = 38158560.

The previous prime is 114768637. The next prime is 114768659. The reversal of 114768648 is 846867411.

It is an interprime number because it is at equal distance from previous prime (114768637) and next prime (114768659).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29793 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (6492200).

Almost surely, 2114768648 is an apocalyptic number.

114768648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114768648 is an abundant number, since it is smaller than the sum of its proper divisors (196856952).

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

114768648 is a wasteful number, since it uses less digits than its factorization.

114768648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4075 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 114768648 is about 10713.0130215547. The cubic root of 114768648 is about 485.9680921997.

It can be divided in two parts, 1 and 14768648, that added together give a square (14768649 = 38432).

The spelling of 114768648 in words is "one hundred fourteen million, seven hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 439 878 1317 1756 2634 3512 3631 3951 5268 7262 7902 10536 10893 14524 15804 21786 29048 31608 32679 43572 65358 87144 130716 261432 1594009 3188018 4782027 6376036 9564054 12752072 14346081 19128108 28692162 38256216 57384324 114768648