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68432760 = 233251121571
BaseRepresentation
bin1000001010000…
…11001101111000
311202202202002200
410011003031320
5120004322020
610442430200
71460445264
oct405031570
9152682080
1068432760
11356a0600
121ab02360
1311240376
1491350a4
15601b590
hex4143378

68432760 has 144 divisors (see below), whose sum is σ = 244618920. Its totient is φ = 16579200.

The previous prime is 68432719. The next prime is 68432761. The reversal of 68432760 is 6723486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68432761) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42775 + ... + 44345.

Almost surely, 268432760 is an apocalyptic number.

68432760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68432760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122309460).

68432760 is an abundant number, since it is smaller than the sum of its proper divisors (176186160).

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

68432760 is a wasteful number, since it uses less digits than its factorization.

68432760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68432760 is about 8272.4095643289. The cubic root of 68432760 is about 409.0295509322.

The spelling of 68432760 in words is "sixty-eight million, four hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1571 1815 1980 2178 2420 2904 3142 3630 3960 4356 4713 4840 5445 6284 7260 7855 8712 9426 10890 12568 14139 14520 15710 17281 18852 21780 23565 28278 31420 34562 37704 43560 47130 51843 56556 62840 69124 70695 86405 94260 103686 113112 138248 141390 155529 172810 188520 190091 207372 259215 282780 311058 345620 380182 414744 518430 565560 570273 622116 691240 760364 777645 950455 1036860 1140546 1244232 1520728 1555290 1710819 1900910 2073720 2281092 2851365 3110580 3421638 3801820 4562184 5702730 6221160 6843276 7603640 8554095 11405460 13686552 17108190 22810920 34216380 68432760