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453955140 = 2232523472333
BaseRepresentation
bin11011000011101…
…100111001000100
31011122012022101100
4123003230321010
51412203031030
6113013500100
714151361242
oct3303547104
91148168340
10453955140
11213278241
12108041630
1373083012
144440b792
1529cc0360
hex1b0ece44

453955140 has 144 divisors (see below), whose sum is σ = 1468067328. Its totient is φ = 113279232.

The previous prime is 453955129. The next prime is 453955153. The reversal of 453955140 is 41559354.

453955140 is a `hidden beast` number, since 4 + 53 + 95 + 514 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 453955095 and 453955104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193414 + ... + 195746.

It is an arithmetic number, because the mean of its divisors is an integer number (10194912).

Almost surely, 2453955140 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 453955140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734033664).

453955140 is an abundant number, since it is smaller than the sum of its proper divisors (1014112188).

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

453955140 is a wasteful number, since it uses less digits than its factorization.

453955140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 453955140 is about 21306.2230345972. The cubic root of 453955140 is about 768.5479691190.

The spelling of 453955140 in words is "four hundred fifty-three million, nine hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 60 69 90 92 94 115 138 141 180 188 207 230 235 276 282 345 414 423 460 470 564 690 705 828 846 940 1035 1081 1380 1410 1692 2070 2115 2162 2333 2820 3243 4140 4230 4324 4666 5405 6486 6999 8460 9332 9729 10810 11665 12972 13998 16215 19458 20997 21620 23330 27996 32430 34995 38916 41994 46660 48645 53659 64860 69990 83988 97290 104985 107318 109651 139980 160977 194580 209970 214636 219302 268295 321954 328953 419940 438604 482931 536590 548255 643908 657906 804885 965862 986859 1073180 1096510 1315812 1609770 1644765 1931724 1973718 2193020 2414655 2521973 3219540 3289530 3947436 4829310 4934295 5043946 6579060 7565919 9658620 9868590 10087892 12609865 15131838 19737180 22697757 25219730 30263676 37829595 45395514 50439460 75659190 90791028 113488785 151318380 226977570 453955140