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68420000 = 255411311
BaseRepresentation
bin1000001010000…
…00000110100000
311202202002121002
410011000012200
5120003420000
610442251132
71460363135
oct405000640
9152662532
1068420000
1135691a60
121aab6aa8
131123760c
14913058c
1560178d5
hex41401a0

68420000 has 120 divisors (see below), whose sum is σ = 184216032. Its totient is φ = 24800000.

The previous prime is 68419997. The next prime is 68420003. The reversal of 68420000 is 2486.

It is an interprime number because it is at equal distance from previous prime (68419997) and next prime (68420003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (68420003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219845 + ... + 220155.

Almost surely, 268420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108016).

68420000 is an abundant number, since it is smaller than the sum of its proper divisors (115796032).

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

68420000 is a wasteful number, since it uses less digits than its factorization.

68420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 68420000 is about 8271.6382899641. The cubic root of 68420000 is about 409.0041267470.

Adding to 68420000 its reverse (2486), we get a palindrome (68422486).

The spelling of 68420000 in words is "sixty-eight million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 311 352 400 440 500 550 622 625 800 880 1000 1100 1244 1250 1375 1555 1760 2000 2200 2488 2500 2750 3110 3421 4000 4400 4976 5000 5500 6220 6842 6875 7775 8800 9952 10000 11000 12440 13684 13750 15550 17105 20000 22000 24880 27368 27500 31100 34210 38875 44000 49760 54736 55000 62200 68420 77750 85525 109472 110000 124400 136840 155500 171050 194375 220000 248800 273680 311000 342100 388750 427625 547360 622000 684200 777500 855250 1244000 1368400 1555000 1710500 2138125 2736800 3110000 3421000 4276250 6220000 6842000 8552500 13684000 17105000 34210000 68420000