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114878480 = 2454013581
BaseRepresentation
bin1101101100011…
…10100000010000
322000011102122112
412312032200100
5213402102410
615222124452
72563310453
oct666164020
9260142575
10114878480
11599339a2
1232580728
131aa52a42
141138549a
15a143105
hex6d8e810

114878480 has 40 divisors (see below), whose sum is σ = 267833304. Its totient is φ = 45824000.

The previous prime is 114878459. The next prime is 114878527. The reversal of 114878480 is 84878411.

It can be written as a sum of positive squares in 4 ways, for example, as 69288976 + 45589504 = 8324^2 + 6752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1148784802 = 26394130334220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30290 + ... + 33870.

Almost surely, 2114878480 is an apocalyptic number.

114878480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114878480 is an abundant number, since it is smaller than the sum of its proper divisors (152954824).

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

114878480 is a wasteful number, since it uses less digits than its factorization.

114878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 114878480 is about 10718.1378979746. The cubic root of 114878480 is about 486.1230643434.

The spelling of 114878480 in words is "one hundred fourteen million, eight hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 3581 4010 6416 7162 8020 14324 16040 17905 28648 32080 35810 57296 71620 143240 286480 1435981 2871962 5743924 7179905 11487848 14359810 22975696 28719620 57439240 114878480