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147550080 = 2735313767
BaseRepresentation
bin10001100101101…
…10111110000000
3101021122022122210
420302312332000
5300233100310
622350302120
73441104106
oct1062667600
9337568583
10147550080
1176319617
12414b7940
1324751a52
141584bc76
15ce48820
hex8cb6f80

147550080 has 256 divisors, whose sum is σ = 506050560. Its totient is φ = 36495360.

The previous prime is 147550079. The next prime is 147550121. The reversal of 147550080 is 80055741.

It is a super-2 number, since 2×1475500802 = 43542052216012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2202207 + ... + 2202273.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760).

Almost surely, 2147550080 is an apocalyptic number.

147550080 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 147550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253025280).

147550080 is an abundant number, since it is smaller than the sum of its proper divisors (358500480).

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

147550080 is a wasteful number, since it uses less digits than its factorization.

147550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 147550080 is about 12147.0193874876. The cubic root of 147550080 is about 528.4206931828.

The spelling of 147550080 in words is "one hundred forty-seven million, five hundred fifty thousand, eighty".