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897603120 = 2436515391
BaseRepresentation
bin110101100000000…
…101011000110000
32022112222222000000
4311200011120300
53314241244440
6225022430000
731146333501
oct6540053060
92275888000
10897603120
11420745567
12210732300
13113c6770b
14872d4ba8
1553c06730
hex35805630

897603120 has 140 divisors (see below), whose sum is σ = 3129162816. Its totient is φ = 239345280.

The previous prime is 897603101. The next prime is 897603121. The reversal of 897603120 is 21306798.

It is a super-2 number, since 2×8976031202 = 1611382722067468800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (897603121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50625 + ... + 66015.

Almost surely, 2897603120 is an apocalyptic number.

897603120 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 897603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564581408).

897603120 is an abundant number, since it is smaller than the sum of its proper divisors (2231559696).

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

897603120 is a wasteful number, since it uses less digits than its factorization.

897603120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 897603120 is about 29960.0253671455. The cubic root of 897603120 is about 964.6315254945.

The spelling of 897603120 in words is "eight hundred ninety-seven million, six hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 15391 19440 29160 30782 46173 58320 61564 76955 92346 123128 138519 153910 184692 230865 246256 277038 307820 369384 415557 461730 554076 615640 692595 738768 831114 923460 1108152 1231280 1246671 1385190 1662228 1846920 2077785 2216304 2493342 2770380 3324456 3693840 3740013 4155570 4986684 5540760 6233355 6648912 7480026 8311140 9973368 11081520 11220039 12466710 14960052 16622280 18700065 19946736 22440078 24933420 29920104 33244560 37400130 44880156 49866840 56100195 59840208 74800260 89760312 99733680 112200390 149600520 179520624 224400780 299201040 448801560 897603120