Search a number
-
+
147004480 = 2657293173
BaseRepresentation
bin10001100001100…
…01110001000000
3101020121121020101
420300301301000
5300113120410
622330452144
73433342330
oct1060616100
9336547211
10147004480
1175a86707
1241294054
13245c05cc
14157490c0
15cd8bd3a
hex8c31c40

147004480 has 224 divisors, whose sum is σ = 433059840. Its totient is φ = 46448640.

The previous prime is 147004471. The next prime is 147004483. The reversal of 147004480 is 84400741.

147004480 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1470044802 = 43220634280140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (147004483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013724 + ... + 2013796.

Almost surely, 2147004480 is an apocalyptic number.

147004480 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 147004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216529920).

147004480 is an abundant number, since it is smaller than the sum of its proper divisors (286055360).

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

147004480 is a wasteful number, since it uses less digits than its factorization.

147004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 147004480 is about 12124.5404036607. The cubic root of 147004480 is about 527.7685701400.

The spelling of 147004480 in words is "one hundred forty-seven million, four thousand, four hundred eighty".