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153142866 = 23343101653
BaseRepresentation
bin10010010000011…
…00011001010010
3101200011110112000
421020030121102
5303201032431
623110214430
73536456442
oct1110143122
9350143460
10153142866
1179499558
1243354416
132595c5a6
14164a6122
15d6a09e6
hex920c652

153142866 has 64 divisors (see below), whose sum is σ = 352218240. Its totient is φ = 49291200.

The previous prime is 153142859. The next prime is 153142867. The reversal of 153142866 is 668241351.

It is a happy number.

153142866 is a `hidden beast` number, since 1 + 531 + 42 + 86 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153142866.

It is not an unprimeable number, because it can be changed into a prime (153142867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234196 + ... + 234848.

It is an arithmetic number, because the mean of its divisors is an integer number (5503410).

Almost surely, 2153142866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153142866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176109120).

153142866 is an abundant number, since it is smaller than the sum of its proper divisors (199075374).

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

153142866 is a wasteful number, since it uses less digits than its factorization.

153142866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 153142866 is about 12375.0905451233. The cubic root of 153142866 is about 535.0145464354.

The spelling of 153142866 in words is "one hundred fifty-three million, one hundred forty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 101 129 202 258 303 387 606 653 774 909 1161 1306 1818 1959 2322 2727 3918 4343 5454 5877 8686 11754 13029 17631 26058 28079 35262 39087 56158 65953 78174 84237 117261 131906 168474 197859 234522 252711 395718 505422 593577 758133 1187154 1516266 1780731 2835979 3561462 5671958 8507937 17015874 25523811 51047622 76571433 153142866