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80608640 = 275719947
BaseRepresentation
bin1001100110111…
…11110110000000
312121200100021012
410303133312000
5131113434030
611555420052
71666106420
oct463376600
9177610235
1080608640
1141557512
1222bb4628
1313914428
14a9c4480
157124095
hex4cdfd80

80608640 has 128 divisors (see below), whose sum is σ = 232070400. Its totient is φ = 26155008.

The previous prime is 80608639. The next prime is 80608669. The reversal of 80608640 is 4680608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 80608597 and 80608606.

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, 84647 + ... + 85593.

It is an arithmetic number, because the mean of its divisors is an integer number (1813050).

Almost surely, 280608640 is an apocalyptic number.

80608640 is a gapful number since it is divisible by the number (80) 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 80608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116035200).

80608640 is an abundant number, since it is smaller than the sum of its proper divisors (151461760).

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

80608640 is a wasteful number, since it uses less digits than its factorization.

80608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 80608640 is about 8978.2314516836. The cubic root of 80608640 is about 431.9769077734.

The spelling of 80608640 in words is "eighty million, six hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 947 1064 1120 1216 1330 1520 1894 2128 2240 2432 2660 3040 3788 4256 4480 4735 5320 6080 6629 7576 8512 9470 10640 12160 13258 15152 17024 17993 18940 21280 26516 30304 33145 35986 37880 42560 53032 60608 66290 71972 75760 85120 89965 106064 121216 125951 132580 143944 151520 179930 212128 251902 265160 287888 303040 359860 424256 503804 530320 575776 606080 629755 719720 848512 1007608 1060640 1151552 1259510 1439440 2015216 2121280 2303104 2519020 2878880 4030432 4242560 5038040 5757760 8060864 10076080 11515520 16121728 20152160 40304320 80608640