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158001480 = 233257213253
BaseRepresentation
bin10010110101011…
…10100101001000
3102000022022021200
421122232211020
5310422021410
623402304200
73625663500
oct1132564510
9360268250
10158001480
118120793a
1244ab8060
1326970c00
1416daca00
15dd103c0
hex96ae948

158001480 has 432 divisors, whose sum is σ = 659030580. Its totient is φ = 32707584.

The previous prime is 158001449. The next prime is 158001491. The reversal of 158001480 is 84100851.

158001480 is a `hidden beast` number, since 1 + 580 + 0 + 1 + 4 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28451556 + 129549924 = 5334^2 + 11382^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2981134 + ... + 2981186.

Almost surely, 2158001480 is an apocalyptic number.

158001480 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 158001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329515290).

158001480 is an abundant number, since it is smaller than the sum of its proper divisors (501029100).

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

158001480 is a wasteful number, since it uses less digits than its factorization.

158001480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 158001480 is about 12569.8639610777. The cubic root of 158001480 is about 540.6137055566.

The spelling of 158001480 in words is "one hundred fifty-eight million, one thousand, four hundred eighty".