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427073640 = 233571926759
BaseRepresentation
bin11001011101001…
…010000001101000
31002202121120220020
4121131022001220
51333312324030
6110213400440
713404031440
oct3135120150
91082546806
10427073640
111aa087824
12bb039120
136a6305c6
1440a11120
1527760510
hex1974a068

427073640 has 128 divisors (see below), whose sum is σ = 1541376000. Its totient is φ = 92475648.

The previous prime is 427073593. The next prime is 427073693. The reversal of 427073640 is 46370724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581 + ... + 29339.

It is an arithmetic number, because the mean of its divisors is an integer number (12042000).

Almost surely, 2427073640 is an apocalyptic number.

427073640 is a gapful number since it is divisible by the number (40) 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 427073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770688000).

427073640 is an abundant number, since it is smaller than the sum of its proper divisors (1114302360).

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

427073640 is a wasteful number, since it uses less digits than its factorization.

427073640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26799 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 427073640 is about 20665.7600876426. The cubic root of 427073640 is about 753.0681073969.

The spelling of 427073640 in words is "four hundred twenty-seven million, seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 26759 53518 80277 107036 133795 160554 187313 214072 267590 321108 374626 401385 508421 535180 561939 642216 749252 802770 936565 1016842 1070360 1123878 1498504 1525263 1605540 1873130 2033684 2247756 2542105 2809695 3050526 3211080 3558947 3746260 4067368 4495512 5084210 5619390 6101052 7117894 7492520 7626315 10168420 10676841 11238780 12202104 14235788 15252630 17794735 20336840 21353682 22477560 28471576 30505260 35589470 42707364 53384205 61010520 71178940 85414728 106768410 142357880 213536820 427073640