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80659440 = 24325293863
BaseRepresentation
bin1001100111011…
…00001111110000
312121202220221200
410303230033300
5131122100230
612000451200
71666410501
oct463541760
9177686850
1080659440
11415916a4
1223019b00
13139315a4
14a9d8ba8
157134160
hex4cec3f0

80659440 has 120 divisors (see below), whose sum is σ = 280294560. Its totient is φ = 20762112.

The previous prime is 80659433. The next prime is 80659457. The reversal of 80659440 is 4495608.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×806594402 = 13011890522227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80659395 and 80659404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18949 + ... + 22811.

It is an arithmetic number, because the mean of its divisors is an integer number (2335788).

Almost surely, 280659440 is an apocalyptic number.

80659440 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 80659440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

80659440 is an abundant number, since it is smaller than the sum of its proper divisors (199635120).

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

80659440 is a wasteful number, since it uses less digits than its factorization.

80659440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80659440 is about 8981.0600710607. The cubic root of 80659440 is about 432.0676334438.

The spelling of 80659440 in words is "eighty million, six hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 3863 4176 5220 6960 7726 10440 11589 15452 19315 20880 23178 30904 34767 38630 46356 57945 61808 69534 77260 92712 112027 115890 139068 154520 173835 185424 224054 231780 278136 309040 336081 347670 448108 463560 556272 560135 672162 695340 896216 927120 1008243 1120270 1344324 1390680 1680405 1792432 2016486 2240540 2688648 2781360 3360810 4032972 4481080 5041215 5377296 6721620 8065944 8962160 10082430 13443240 16131888 20164860 26886480 40329720 80659440