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80495640 = 23335731021
BaseRepresentation
bin1001100110001…
…00010000011000
312121110121021000
410303010100120
5131101330030
611553145000
71665126111
oct463042030
9177417230
1080495640
114148a625
1222b5b160
13138a4b74
14a995208
157100860
hex4cc4418

80495640 has 128 divisors (see below), whose sum is σ = 272260800. Its totient is φ = 21150720.

The previous prime is 80495617. The next prime is 80495651. The reversal of 80495640 is 4659408.

80495640 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 5 + 640 = 666.

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 = 80495595 and 80495604.

It is a congruent number.

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, 78330 + ... + 79350.

Almost surely, 280495640 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 80495640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136130400).

80495640 is an abundant number, since it is smaller than the sum of its proper divisors (191765160).

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

80495640 is a wasteful number, since it uses less digits than its factorization.

80495640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1104 counting only the distinct ones).

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

The square root of 80495640 is about 8971.9362458725. The cubic root of 80495640 is about 431.7749599516.

It can be divided in two parts, 8049 and 5640, that added together give a square (13689 = 1172).

The spelling of 80495640 in words is "eighty million, four hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1021 1080 1095 1314 1460 1752 1971 2042 2190 2628 2920 3063 3285 3942 4084 4380 5105 5256 6126 6570 7884 8168 8760 9189 9855 10210 12252 13140 15315 15768 18378 19710 20420 24504 26280 27567 30630 36756 39420 40840 45945 55134 61260 73512 74533 78840 91890 110268 122520 137835 149066 183780 220536 223599 275670 298132 367560 372665 447198 551340 596264 670797 745330 894396 1102680 1117995 1341594 1490660 1788792 2012391 2235990 2683188 2981320 3353985 4024782 4471980 5366376 6707970 8049564 8943960 10061955 13415940 16099128 20123910 26831880 40247820 80495640