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147479040 = 2932537173
BaseRepresentation
bin10001100101001…
…01101000000000
3101021111201012200
420302211220000
5300223312130
622344553200
73440360022
oct1062455000
9337451180
10147479040
1176280205
1241482800
1324728607
1415830012
15ce32760
hex8ca5a00

147479040 has 240 divisors, whose sum is σ = 527597928. Its totient is φ = 38043648.

The previous prime is 147479039. The next prime is 147479041. The reversal of 147479040 is 40974741.

147479040 is a `hidden beast` number, since 147 + 479 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (147479039) and next prime (147479041).

It can be written as a sum of positive squares in 4 ways, for example, as 147476736 + 2304 = 12144^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147478986 and 147479004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147479041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852394 + ... + 852566.

Almost surely, 2147479040 is an apocalyptic number.

147479040 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 147479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263798964).

147479040 is an abundant number, since it is smaller than the sum of its proper divisors (380118888).

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

147479040 is a wasteful number, since it uses less digits than its factorization.

147479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 147479040 is about 12144.0948612896. The cubic root of 147479040 is about 528.3358744505.

The spelling of 147479040 in words is "one hundred forty-seven million, four hundred seventy-nine thousand, forty".