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150761142 = 23372227251
BaseRepresentation
bin10001111110001…
…10111010110110
3101111200110102000
420333012322312
5302043324032
622543200130
73510306600
oct1077067266
9344613360
10150761142
1178112094
12425a6046
132530749c
1416046170
15d37ee7c
hex8fc6eb6

150761142 has 96 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 42714000.

The previous prime is 150761137. The next prime is 150761161. The reversal of 150761142 is 241167051.

It is a happy number.

150761142 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 611 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 600517 + ... + 600767.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740).

Almost surely, 2150761142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150761142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

150761142 is an abundant number, since it is smaller than the sum of its proper divisors (242237898).

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

150761142 is a wasteful number, since it uses less digits than its factorization.

150761142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150761142 is about 12278.4828867413. The cubic root of 150761142 is about 532.2264732900.

The spelling of 150761142 in words is "one hundred fifty million, seven hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 227 251 294 378 441 454 502 681 753 882 1323 1362 1506 1589 1757 2043 2259 2646 3178 3514 4086 4518 4767 5271 6129 6777 9534 10542 11123 12258 12299 13554 14301 15813 22246 24598 28602 31626 33369 36897 42903 47439 56977 66738 73794 85806 94878 100107 110691 113954 170931 200214 221382 300321 332073 341862 398839 512793 600642 664146 797678 1025586 1196517 1538379 2393034 2791873 3076758 3589551 5583746 7179102 8375619 10768653 16751238 21537306 25126857 50253714 75380571 150761142