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67889920 = 28577577
BaseRepresentation
bin1000000101111…
…10101100000000
311201202011110111
410002332230000
5114334434140
610423041104
71453024540
oct402765400
9151664414
1067889920
113535a77a
121a8a0194
13110b0267
149033320
155e607ea
hex40beb00

67889920 has 72 divisors (see below), whose sum is σ = 185873184. Its totient is φ = 23273472.

The previous prime is 67889903. The next prime is 67889971. The reversal of 67889920 is 2998876.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5172 + ... + 12748.

It is an arithmetic number, because the mean of its divisors is an integer number (2581572).

Almost surely, 267889920 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 67889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92936592).

67889920 is an abundant number, since it is smaller than the sum of its proper divisors (117983264).

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

67889920 is an equidigital number, since it uses as much as digits as its factorization.

67889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 67889920 is about 8239.5339674037. The cubic root of 67889920 is about 407.9451419259.

The spelling of 67889920 in words is "sixty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 7577 8960 15154 30308 37885 53039 60616 75770 106078 121232 151540 212156 242464 265195 303080 424312 484928 530390 606160 848624 969856 1060780 1212320 1697248 1939712 2121560 2424640 3394496 4243120 4849280 6788992 8486240 9698560 13577984 16972480 33944960 67889920