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870465640 = 2351153163229
BaseRepresentation
bin110011111000100…
…100000001101000
32020122221020101011
4303320210001220
53240314400030
6222213033304
730366556462
oct6370440150
92218836334
10870465640
1140739a7a0
12203625834
1310b455635
148386d132
1551645b2a
hex33e24068

870465640 has 128 divisors (see below), whose sum is σ = 2199830400. Its totient is φ = 307307520.

The previous prime is 870465593. The next prime is 870465691. The reversal of 870465640 is 46564078.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 870465593 and 870465602.

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, 3801046 + ... + 3801274.

It is an arithmetic number, because the mean of its divisors is an integer number (17186175).

Almost surely, 2870465640 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 870465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099915200).

870465640 is an abundant number, since it is smaller than the sum of its proper divisors (1329364760).

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

870465640 is a wasteful number, since it uses less digits than its factorization.

870465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 870465640 is about 29503.6546888686. The cubic root of 870465640 is about 954.8105542366.

The spelling of 870465640 in words is "eight hundred seventy million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 163 212 220 229 265 326 424 440 458 530 583 652 815 916 1060 1145 1166 1304 1630 1793 1832 2120 2290 2332 2519 2915 3260 3586 4580 4664 5038 5830 6520 7172 8639 8965 9160 10076 11660 12137 12595 14344 17278 17930 20152 23320 24274 25190 34556 35860 37327 43195 48548 50380 60685 69112 71720 74654 86390 95029 97096 100760 121370 133507 149308 172780 186635 190058 242740 267014 298616 345560 373270 380116 410597 475145 485480 534028 667535 746540 760232 821194 950290 1068056 1335070 1493080 1642388 1900580 1978331 2052985 2670140 3284776 3801160 3956662 4105970 5340280 7913324 8211940 9891655 15826648 16423880 19783310 21761641 39566620 43523282 79133240 87046564 108808205 174093128 217616410 435232820 870465640