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150654042 = 232711731489
BaseRepresentation
bin10001111101011…
…00110001011010
3101111111000111100
420332230301122
5302031412132
622541012230
73506352420
oct1076546132
9344430440
10150654042
1178049680
1242554076
132529a806
1416019110
15d35d37c
hex8facc5a

150654042 has 96 divisors (see below), whose sum is σ = 412813440. Its totient is φ = 38568960.

The previous prime is 150654041. The next prime is 150654067. The reversal of 150654042 is 240456051.

150654042 is a `hidden beast` number, since 1 + 5 + 0 + 654 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150653997 and 150654015.

It is not an unprimeable number, because it can be changed into a prime (150654041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100434 + ... + 101922.

It is an arithmetic number, because the mean of its divisors is an integer number (4300140).

Almost surely, 2150654042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150654042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206406720).

150654042 is an abundant number, since it is smaller than the sum of its proper divisors (262159398).

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

150654042 is a wasteful number, since it uses less digits than its factorization.

150654042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150654042 is about 12274.1208239124. The cubic root of 150654042 is about 532.1004130473.

The spelling of 150654042 in words is "one hundred fifty million, six hundred fifty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 126 146 154 198 219 231 438 462 511 657 693 803 1022 1314 1386 1489 1533 1606 2409 2978 3066 4467 4599 4818 5621 7227 8934 9198 10423 11242 13401 14454 16379 16863 20846 26802 31269 32758 33726 49137 50589 62538 93807 98274 101178 108697 114653 147411 187614 217394 229306 294822 326091 343959 652182 687918 760879 978273 1031877 1195667 1521758 1956546 2063754 2282637 2391334 3587001 4565274 6847911 7174002 8369669 10761003 13695822 16739338 21522006 25109007 50218014 75327021 150654042