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811097840 = 24571976231
BaseRepresentation
bin110000010110000…
…101111011110000
32002112020001001202
4300112011323300
53130120112330
6212252350332
726046134510
oct6026057360
92075201052
10811097840
113869308a3
121a77753a8
13cc06a367
1479a17840
154b31a445
hex30585ef0

811097840 has 80 divisors (see below), whose sum is σ = 2268664320. Its totient is φ = 263450880.

The previous prime is 811097759. The next prime is 811097843. The reversal of 811097840 is 48790118.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 811097794 and 811097803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811097843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27476 + ... + 48755.

It is an arithmetic number, because the mean of its divisors is an integer number (28358304).

Almost surely, 2811097840 is an apocalyptic number.

811097840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811097840 is an abundant number, since it is smaller than the sum of its proper divisors (1457566480).

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

811097840 is a wasteful number, since it uses less digits than its factorization.

811097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76270 (or 76264 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 811097840 is about 28479.7794935284. The cubic root of 811097840 is about 932.5907029147.

The spelling of 811097840 in words is "eight hundred eleven million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 76231 152462 304924 381155 533617 609848 762310 1067234 1219696 1448389 1524620 2134468 2668085 2896778 3049240 4268936 5336170 5793556 6098480 7241945 8537872 10138723 10672340 11587112 14483890 20277446 21344680 23174224 28967780 40554892 42689360 50693615 57935560 81109784 101387230 115871120 162219568 202774460 405548920 811097840