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147430080 = 26325771103
BaseRepresentation
bin10001100100110…
…01101011000000
3101021102020001100
420302121223000
5300220230310
622343534400
73440064210
oct1062315300
9337366040
10147430080
1176247446
124145a400
132470c245
141581a240
15ce22ec0
hex8c99ac0

147430080 has 336 divisors, whose sum is σ = 593409024. Its totient is φ = 32901120.

The previous prime is 147430067. The next prime is 147430091. The reversal of 147430080 is 80034741.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1431309 + ... + 1431411.

Almost surely, 2147430080 is an apocalyptic number.

147430080 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 147430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296704512).

147430080 is an abundant number, since it is smaller than the sum of its proper divisors (445978944).

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

147430080 is a wasteful number, since it uses less digits than its factorization.

147430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147430080 is about 12142.0788994307. The cubic root of 147430080 is about 528.2774024412.

The spelling of 147430080 in words is "one hundred forty-seven million, four hundred thirty thousand, eighty".