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68575140 = 22335292151
BaseRepresentation
bin1000001011001…
…01111110100100
311210000222102000
410011211332210
5120023401030
610445445300
71461610344
oct405457644
9153028360
1068575140
1135788577
121ab70830
131129010a
149170d24
156048860
hex4165fa4

68575140 has 144 divisors (see below), whose sum is σ = 222418560. Its totient is φ = 17539200.

The previous prime is 68575099. The next prime is 68575141. The reversal of 68575140 is 4157586.

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

It is a junction number, because it is equal to n+sod(n) for n = 68575095 and 68575104.

It is not an unprimeable number, because it can be changed into a prime (68575141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454065 + ... + 454215.

Almost surely, 268575140 is an apocalyptic number.

68575140 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 68575140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111209280).

68575140 is an abundant number, since it is smaller than the sum of its proper divisors (153843420).

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

68575140 is a wasteful number, since it uses less digits than its factorization.

68575140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 68575140 is about 8281.0108078664. The cubic root of 68575140 is about 409.3130276603.

The spelling of 68575140 in words is "sixty-eight million, five hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 151 174 180 261 270 290 302 348 435 453 522 540 580 604 755 783 841 870 906 1044 1305 1359 1510 1566 1682 1740 1812 2265 2523 2610 2718 3020 3132 3364 3915 4077 4205 4379 4530 5046 5220 5436 6795 7569 7830 8154 8410 8758 9060 10092 12615 13137 13590 15138 15660 16308 16820 17516 20385 21895 22707 25230 26274 27180 30276 37845 39411 40770 43790 45414 50460 52548 65685 75690 78822 81540 87580 90828 113535 118233 126991 131370 151380 157644 197055 227070 236466 253982 262740 380973 394110 454140 472932 507964 591165 634955 761946 788220 1142919 1182330 1269910 1523892 1904865 2285838 2364660 2539820 3428757 3809730 4571676 5714595 6857514 7619460 11429190 13715028 17143785 22858380 34287570 68575140