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270142866 = 23272331297
BaseRepresentation
bin10000000110100…
…000110110010010
3200211022200100100
4100012200312102
51023124032431
642450033230
76460114350
oct2006406622
9624280310
10270142866
11129541374
1276578816
1343c75b66
1427c407d0
1518ab24e6
hex101a0d92

270142866 has 144 divisors (see below), whose sum is σ = 728687232. Its totient is φ = 70709760.

The previous prime is 270142849. The next prime is 270142867. The reversal of 270142866 is 668241072.

It is a self number, because there is not a number n which added to its sum of digits gives 270142866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270142867) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2784930 + ... + 2785026.

It is an arithmetic number, because the mean of its divisors is an integer number (5060328).

Almost surely, 2270142866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270142866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364343616).

270142866 is an abundant number, since it is smaller than the sum of its proper divisors (458544366).

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

270142866 is a wasteful number, since it uses less digits than its factorization.

270142866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270142866 is about 16436.0234241741. The cubic root of 270142866 is about 646.4443852296. Note that the first 3 decimals are identical.

The spelling of 270142866 in words is "two hundred seventy million, one hundred forty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 97 126 138 161 186 194 207 217 279 291 322 414 434 483 558 582 651 679 713 873 961 966 1302 1358 1426 1449 1746 1922 1953 2037 2139 2231 2883 2898 3007 3906 4074 4278 4462 4991 5766 6014 6111 6417 6693 6727 8649 9021 9982 12222 12834 13386 13454 14973 15617 17298 18042 20079 20181 21049 22103 27063 29946 31234 40158 40362 42098 44206 44919 46851 54126 60543 63147 66309 69161 89838 93217 93702 121086 126294 132618 138322 140553 154721 186434 189441 198927 207483 279651 281106 309442 378882 397854 414966 464163 484127 559302 622449 652519 838953 928326 968254 1244898 1305038 1392489 1452381 1677906 1957557 2143991 2784978 2904762 3915114 4287982 4357143 5872671 6431973 8714286 11745342 12863946 15007937 19295919 30015874 38591838 45023811 90047622 135071433 270142866