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68751360 = 212325373
BaseRepresentation
bin1000001100100…
…01000000000000
311210100221010200
410012101000000
5120100020420
610453325200
71463243166
oct406210000
9153327120
1068751360
1135898a07
121b036800
13113223a2
1491b9236
156080b90
hex4191000

68751360 has 156 divisors (see below), whose sum is σ = 238947852. Its totient is φ = 18284544.

The previous prime is 68751341. The next prime is 68751377. The reversal of 68751360 is 6315786.

68751360 is a `hidden beast` number, since 6 + 87 + 513 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 37748736 = 5568^2 + 6144^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184134 + ... + 184506.

It is an arithmetic number, because the mean of its divisors is an integer number (1531717).

Almost surely, 268751360 is an apocalyptic number.

68751360 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 68751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119473926).

68751360 is an abundant number, since it is smaller than the sum of its proper divisors (170196492).

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

68751360 is a wasteful number, since it uses less digits than its factorization.

68751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 68751360 is about 8291.6439865686. The cubic root of 68751360 is about 409.6633365599.

The spelling of 68751360 in words is "sixty-eight million, seven hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 373 384 480 512 576 640 720 746 768 960 1024 1119 1152 1280 1440 1492 1536 1865 1920 2048 2238 2304 2560 2880 2984 3072 3357 3730 3840 4096 4476 4608 5120 5595 5760 5968 6144 6714 7460 7680 8952 9216 10240 11190 11520 11936 12288 13428 14920 15360 16785 17904 18432 20480 22380 23040 23872 26856 29840 30720 33570 35808 36864 44760 46080 47744 53712 59680 61440 67140 71616 89520 92160 95488 107424 119360 134280 143232 179040 184320 190976 214848 238720 268560 286464 358080 381952 429696 477440 537120 572928 716160 763904 859392 954880 1074240 1145856 1432320 1527808 1718784 1909760 2148480 2291712 2864640 3437568 3819520 4296960 4583424 5729280 6875136 7639040 8593920 11458560 13750272 17187840 22917120 34375680 68751360