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68430240 = 2532547521
BaseRepresentation
bin1000001010000…
…10100110100000
311202202121122100
410011002212200
5120004231430
610442410400
71460435034
oct405024640
9152677570
1068430240
113569971a
121ab00a00
131123c188
1491341c4
15601a960
hex41429a0

68430240 has 72 divisors (see below), whose sum is σ = 233523108. Its totient is φ = 18247680.

The previous prime is 68430223. The next prime is 68430259. The reversal of 68430240 is 4203486.

It can be written as a sum of positive squares in 2 ways, for example, as 66781584 + 1648656 = 8172^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 22321 + ... + 25200.

Almost surely, 268430240 is an apocalyptic number.

68430240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68430240 is an abundant number, since it is smaller than the sum of its proper divisors (165092868).

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

68430240 is a wasteful number, since it uses less digits than its factorization.

68430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47542 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 68430240 is about 8272.2572493848. The cubic root of 68430240 is about 409.0245301054.

The spelling of 68430240 in words is "sixty-eight million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47521 95042 142563 190084 237605 285126 380168 427689 475210 570252 712815 760336 855378 950420 1140504 1425630 1520672 1710756 1900840 2138445 2281008 2851260 3421512 3801680 4276890 4562016 5702520 6843024 7603360 8553780 11405040 13686048 17107560 22810080 34215120 68430240