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896682120 = 233589113743
BaseRepresentation
bin110101011100100…
…100100010001000
32022111021011121220
4311130210202020
53314022311440
6224551002040
731135446405
oct6534444210
92274234556
10896682120
11420176604
12210369320
13113a04449
14871352ac
1553ac38d0
hex35724888

896682120 has 128 divisors (see below), whose sum is σ = 2748038400. Its totient is φ = 234020864.

The previous prime is 896682113. The next prime is 896682133. The reversal of 896682120 is 21286698.

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, 1206469 + ... + 1207211.

It is an arithmetic number, because the mean of its divisors is an integer number (21469050).

Almost surely, 2896682120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896682120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374019200).

896682120 is an abundant number, since it is smaller than the sum of its proper divisors (1851356280).

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

896682120 is a wasteful number, since it uses less digits than its factorization.

896682120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 896682120 is about 29944.6509413618. The cubic root of 896682120 is about 964.3014874002.

The spelling of 896682120 in words is "eight hundred ninety-six million, six hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 113 120 178 226 267 339 356 445 452 534 565 678 712 743 890 904 1068 1130 1335 1356 1486 1695 1780 2136 2229 2260 2670 2712 2972 3390 3560 3715 4458 4520 5340 5944 6780 7430 8916 10057 10680 11145 13560 14860 17832 20114 22290 29720 30171 40228 44580 50285 60342 66127 80456 83959 89160 100570 120684 132254 150855 167918 198381 201140 241368 251877 264508 301710 330635 335836 396762 402280 419795 503754 529016 603420 661270 671672 793524 839590 991905 1007508 1206840 1259385 1322540 1587048 1679180 1983810 2015016 2518770 2645080 3358360 3967620 5037540 7472351 7935240 10075080 14944702 22417053 29889404 37361755 44834106 59778808 74723510 89668212 112085265 149447020 179336424 224170530 298894040 448341060 896682120