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897465360 = 2435111719997
BaseRepresentation
bin110101011111100…
…011110000010000
32022112201222000210
4311133203300100
53314222342420
6225015444120
731145221041
oct6537436020
92275658023
10897465360
11420661010
12210686640
13113c19abc
148729a8c8
1553bca9e0
hex357e3c10

897465360 has 160 divisors (see below), whose sum is σ = 3213758592. Its totient is φ = 204759040.

The previous prime is 897465337. The next prime is 897465379. The reversal of 897465360 is 63564798.

897465360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 34882 + ... + 54878.

Almost surely, 2897465360 is an apocalyptic number.

897465360 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 897465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606879296).

897465360 is an abundant number, since it is smaller than the sum of its proper divisors (2316293232).

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

897465360 is a wasteful number, since it uses less digits than its factorization.

897465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 897465360 is about 29957.7262154523. The cubic root of 897465360 is about 964.5821738992.

The spelling of 897465360 in words is "eight hundred ninety-seven million, four hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 19997 22440 39994 44880 59991 79988 99985 119982 159976 199970 219967 239964 299955 319952 339949 399940 439934 479928 599910 659901 679898 799880 879868 959856 1019847 1099835 1199820 1319802 1359796 1599760 1699745 1759736 2039694 2199670 2399640 2639604 2719592 3299505 3399490 3519472 3739439 4079388 4399340 4799280 5099235 5279208 5439184 6599010 6798980 7478878 8158776 8798680 10198470 10558416 11218317 13198020 13597960 14957756 16317552 17597360 18697195 20396940 22436634 26396040 27195920 29915512 37394390 40793880 44873268 52792080 56091585 59831024 74788780 81587760 89746536 112183170 149577560 179493072 224366340 299155120 448732680 897465360