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810897920 = 2957371223
BaseRepresentation
bin110000010101010…
…101001000000000
32002111211212211022
4300111111020000
53130042213140
6212244205012
726044342610
oct6025251000
92074755738
10810897920
11386804678
121a7699768
13cbcca371
14799a4a40
154b2cb0b5
hex30555200

810897920 has 160 divisors (see below), whose sum is σ = 2283925248. Its totient is φ = 270286848.

The previous prime is 810897917. The next prime is 810897929. The reversal of 810897920 is 29798018.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (810897929) 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, 662429 + ... + 663651.

Almost surely, 2810897920 is an apocalyptic number.

810897920 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 810897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141962624).

810897920 is an abundant number, since it is smaller than the sum of its proper divisors (1473027328).

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

810897920 is a wasteful number, since it uses less digits than its factorization.

810897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 810897920 is about 28476.2694185878. The cubic root of 810897920 is about 932.5140747348.

The spelling of 810897920 in words is "eight hundred ten million, eight hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 512 518 560 592 640 740 896 1036 1120 1184 1223 1280 1295 1480 1792 2072 2240 2368 2446 2560 2590 2960 3584 4144 4480 4736 4892 5180 5920 6115 8288 8561 8960 9472 9784 10360 11840 12230 16576 17122 17920 18944 19568 20720 23680 24460 33152 34244 39136 41440 42805 45251 47360 48920 66304 68488 78272 82880 85610 90502 94720 97840 132608 136976 156544 165760 171220 181004 195680 226255 273952 313088 316757 331520 342440 362008 391360 452510 547904 626176 633514 663040 684880 724016 782720 905020 1095808 1267028 1369760 1448032 1565440 1583785 1810040 2191616 2534056 2739520 2896064 3130880 3167570 3620080 4383232 5068112 5479040 5792128 6335140 7240160 10136224 10958080 11584256 12670280 14480320 20272448 21916160 23168512 25340560 28960640 40544896 50681120 57921280 81089792 101362240 115842560 162179584 202724480 405448960 810897920