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68470560 = 25325172797
BaseRepresentation
bin1000001010011…
…00011100100000
311202211122221200
410011030130200
5120012024220
610443321200
71460663424
oct405143440
9152748850
1068470560
1135716a44
121ab20200
1311254632
149144b84
156027890
hex414c720

68470560 has 144 divisors (see below), whose sum is σ = 247488696. Its totient is φ = 17178624.

The previous prime is 68470559. The next prime is 68470561. The reversal of 68470560 is 6507486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68470559) and next prime (68470561).

It can be written as a sum of positive squares in 4 ways, for example, as 65999376 + 2471184 = 8124^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (68470561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23082 + ... + 25878.

Almost surely, 268470560 is an apocalyptic number.

68470560 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 68470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123744348).

68470560 is an abundant number, since it is smaller than the sum of its proper divisors (179018136).

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

68470560 is a wasteful number, since it uses less digits than its factorization.

68470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68470560 is about 8274.6939520444. The cubic root of 68470560 is about 409.1048485486.

The spelling of 68470560 in words is "sixty-eight million, four hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 2797 3060 4080 4896 5594 6120 8160 8391 11188 12240 13985 16782 22376 24480 25173 27970 33564 41955 44752 47549 50346 55940 67128 83910 89504 95098 100692 111880 125865 134256 142647 167820 190196 201384 223760 237745 251730 268512 285294 335640 380392 402768 427941 447520 475490 503460 570588 671280 713235 760784 805536 855882 950980 1006920 1141176 1342560 1426470 1521568 1711764 1901960 2013840 2139705 2282352 2852940 3423528 3803920 4027680 4279410 4564704 5705880 6847056 7607840 8558820 11411760 13694112 17117640 22823520 34235280 68470560