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68240640 = 2835131367
BaseRepresentation
bin1000001000101…
…00010100000000
311202101222120010
410010110110000
5114432200030
610434344520
71456015206
oct404242400
9152358503
1068240640
113557a226
121aa2b140
13111a3aa0
1490c5076
155ece6b0
hex4114500

68240640 has 144 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 16785408.

The previous prime is 68240633. The next prime is 68240681. The reversal of 68240640 is 4604286.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68240598 and 68240607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49237 + ... + 50603.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 268240640 is an apocalyptic number.

68240640 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 68240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

68240640 is an abundant number, since it is smaller than the sum of its proper divisors (166639488).

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

68240640 is a wasteful number, since it uses less digits than its factorization.

68240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 68240640 is about 8260.7893085346. The cubic root of 68240640 is about 408.6464185909.

The spelling of 68240640 in words is "sixty-eight million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1367 1560 1664 1920 2080 2496 2734 3120 3328 3840 4101 4160 4992 5468 6240 6835 8202 8320 9984 10936 12480 13670 16404 16640 17771 20505 21872 24960 27340 32808 35542 41010 43744 49920 53313 54680 65616 71084 82020 87488 88855 106626 109360 131232 142168 164040 174976 177710 213252 218720 262464 266565 284336 328080 349952 355420 426504 437440 524928 533130 568672 656160 710840 853008 874880 1049856 1066260 1137344 1312320 1421680 1706016 1749760 2132520 2274688 2624640 2843360 3412032 4265040 4549376 5249280 5686720 6824064 8530080 11373440 13648128 17060160 22746880 34120320 68240640