Search a number
-
+
150666054 = 237112231289
BaseRepresentation
bin10001111101011…
…11101101000110
3101111111121222020
420332233231012
5302032303204
622541144010
73506432430
oct1076575506
9344447866
10150666054
1178057700
124255b006
13252a3116
141601d650
15d361bd9
hex8fafb46

150666054 has 96 divisors (see below), whose sum is σ = 395297280. Its totient is φ = 37403520.

The previous prime is 150666011. The next prime is 150666059. The reversal of 150666054 is 450666051.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150666059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116242 + ... + 117530.

It is an arithmetic number, because the mean of its divisors is an integer number (4117680).

Almost surely, 2150666054 is an apocalyptic number.

150666054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150666054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197648640).

150666054 is an abundant number, since it is smaller than the sum of its proper divisors (244631226).

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

150666054 is a wasteful number, since it uses less digits than its factorization.

150666054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 150666054 is about 12274.6101363750. The cubic root of 150666054 is about 532.1145545426.

The spelling of 150666054 in words is "one hundred fifty million, six hundred sixty-six thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 121 138 154 161 231 242 253 322 363 462 483 506 726 759 847 966 1289 1518 1694 1771 2541 2578 2783 3542 3867 5082 5313 5566 7734 8349 9023 10626 14179 16698 18046 19481 27069 28358 29647 38962 42537 54138 58443 59294 85074 88941 99253 116886 155969 177882 198506 207529 297759 311938 326117 415058 467907 595518 622587 652234 935814 978351 1091783 1245174 1956702 2183566 2282819 3275349 3587287 4565638 6550698 6848457 7174574 10761861 13696914 21523722 25111009 50222018 75333027 150666054