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150140928 = 211373491
BaseRepresentation
bin10001111001011…
…11100000000000
3101110111221122010
420330233200000
5301414002203
622522012520
73502114440
oct1074574000
9343457563
10150140928
1177829113
1242347140
132514b0b2
1415d24120
15d2ab303
hex8f2f800

150140928 has 96 divisors (see below), whose sum is σ = 457591680. Its totient is φ = 42885120.

The previous prime is 150140927. The next prime is 150140951. The reversal of 150140928 is 829041051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 150140895 and 150140904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150140927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41263 + ... + 44753.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2150140928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228795840).

150140928 is an abundant number, since it is smaller than the sum of its proper divisors (307450752).

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

150140928 is an equidigital number, since it uses as much as digits as its factorization.

150140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 150140928 is about 12253.2007247086. The cubic root of 150140928 is about 531.4956306702.

Adding to 150140928 its reverse (829041051), we get a palindrome (979181979).

The spelling of 150140928 in words is "one hundred fifty million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3491 3584 5376 6144 6982 7168 10473 10752 13964 14336 20946 21504 24437 27928 41892 43008 48874 55856 73311 83784 97748 111712 146622 167568 195496 223424 293244 335136 390992 446848 586488 670272 781984 893696 1172976 1340544 1563968 1787392 2345952 2681088 3127936 3574784 4691904 5362176 6255872 7149568 9383808 10724352 12511744 18767616 21448704 25023488 37535232 50046976 75070464 150140928