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150635142 = 23272359881
BaseRepresentation
bin10001111101010…
…00001010000110
3101111110001120100
420332220022012
5302030311032
622540344530
73506243340
oct1076501206
9344401510
10150635142
1178036459
1242545146
1325292028
1416012290
15d35797c
hex8fa8286

150635142 has 96 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 40423680.

The previous prime is 150635117. The next prime is 150635143. The reversal of 150635142 is 241536051.

150635142 is a `hidden beast` number, since 15 + 0 + 635 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150635143) 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, 170542 + ... + 171422.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2150635142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150635142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

150635142 is an abundant number, since it is smaller than the sum of its proper divisors (245629818).

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

150635142 is a wasteful number, since it uses less digits than its factorization.

150635142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150635142 is about 12273.3508871864. The cubic root of 150635142 is about 532.0781609208.

Subtracting 150635142 from its reverse (241536051), we obtain a palindrome (90900909).

The spelling of 150635142 in words is "one hundred fifty million, six hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 59 63 69 118 126 138 161 177 207 322 354 413 414 483 531 826 881 966 1062 1239 1357 1449 1762 2478 2643 2714 2898 3717 4071 5286 6167 7434 7929 8142 9499 12213 12334 15858 18501 18998 20263 24426 28497 37002 40526 51979 55503 56994 60789 85491 103958 111006 121578 141841 155937 170982 182367 283682 311874 363853 364734 425523 467811 727706 851046 935622 1091559 1195517 1276569 2183118 2391034 2553138 3274677 3586551 6549354 7173102 8368619 10759653 16737238 21519306 25105857 50211714 75317571 150635142