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150423040 = 29567877
BaseRepresentation
bin10001111011101…
…00011000000000
3101111001021121201
420331310120000
5302002014130
622532030544
73504401065
oct1075643000
9344037551
10150423040
1177a01069
1242462454
1325219621
1415d98c6c
15d314bca
hex8f74600

150423040 has 80 divisors (see below), whose sum is σ = 366463152. Its totient is φ = 59203584.

The previous prime is 150422963. The next prime is 150423071. The reversal of 150423040 is 40324051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 150422999 and 150423017.

It is a congruent number.

It is an unprimeable number.

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, 171082 + ... + 171958.

Almost surely, 2150423040 is an apocalyptic number.

150423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183231576).

150423040 is an abundant number, since it is smaller than the sum of its proper divisors (216040112).

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

150423040 is an frugal number, since it uses more digits than its factorization.

150423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 150423040 is about 12264.7070898575. The cubic root of 150423040 is about 531.8283125111.

Adding to 150423040 its reverse (40324051), we get a palindrome (190747091).

The spelling of 150423040 in words is "one hundred fifty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 877 1072 1280 1340 1754 2144 2560 2680 3508 4288 4385 5360 7016 8576 8770 10720 14032 17152 17540 21440 28064 34304 35080 42880 56128 58759 70160 85760 112256 117518 140320 171520 224512 235036 280640 293795 449024 470072 561280 587590 940144 1122560 1175180 1880288 2245120 2350360 3760576 4700720 7521152 9401440 15042304 18802880 30084608 37605760 75211520 150423040