Search a number
-
+
897236640 = 25325837507
BaseRepresentation
bin110101011110101…
…011111010100000
32022112022100021200
4311132223322200
53314143033030
6225010521200
731143246156
oct6536537240
92275270250
10897236640
11420515193
12210596200
13113b69971
148723b3d6
1553b82d60
hex357abea0

897236640 has 144 divisors (see below), whose sum is σ = 3099122208. Its totient is φ = 236348928.

The previous prime is 897236621. The next prime is 897236651. The reversal of 897236640 is 46632798.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115767 + ... + 123273.

It is an arithmetic number, because the mean of its divisors is an integer number (21521682).

Almost surely, 2897236640 is an apocalyptic number.

897236640 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 897236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549561104).

897236640 is an abundant number, since it is smaller than the sum of its proper divisors (2201885568).

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

897236640 is a wasteful number, since it uses less digits than its factorization.

897236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 897236640 is about 29953.9085930367. The cubic root of 897236640 is about 964.5002253401.

The spelling of 897236640 in words is "eight hundred ninety-seven million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5976 6640 7470 7507 7968 9960 11952 13280 14940 15014 19920 22521 23904 29880 30028 37535 39840 45042 59760 60056 67563 75070 90084 112605 119520 120112 135126 150140 180168 225210 240224 270252 300280 337815 360336 450420 540504 600560 623081 675630 720672 900840 1081008 1201120 1246162 1351260 1801680 1869243 2162016 2492324 2702520 3115405 3603360 3738486 4984648 5405040 5607729 6230810 7476972 9346215 9969296 10810080 11215458 12461620 14953944 18692430 19938592 22430916 24923240 28038645 29907888 37384860 44861832 49846480 56077290 59815776 74769720 89723664 99692960 112154580 149539440 179447328 224309160 299078880 448618320 897236640