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147431440 = 24513141761
BaseRepresentation
bin10001100100110…
…10000000010000
3101021102021220201
420302122000100
5300220301230
622343544544
73440101162
oct1062320020
9337367821
10147431440
1176248472
124145b154
132470ca50
141581a932
15ce235ca
hex8c9a010

147431440 has 40 divisors (see below), whose sum is σ = 369148248. Its totient is φ = 54435840.

The previous prime is 147431413. The next prime is 147431483. The reversal of 147431440 is 44134741.

147431440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 147185424 = 496^2 + 12132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 147431399 and 147431408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69841 + ... + 71920.

Almost surely, 2147431440 is an apocalyptic number.

147431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147431440 is an abundant number, since it is smaller than the sum of its proper divisors (221716808).

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

147431440 is a wasteful number, since it uses less digits than its factorization.

147431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141787 (or 141781 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 147431440 is about 12142.1349028908. The cubic root of 147431440 is about 528.2790268385.

The spelling of 147431440 in words is "one hundred forty-seven million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 141761 283522 567044 708805 1134088 1417610 1842893 2268176 2835220 3685786 5670440 7371572 9214465 11340880 14743144 18428930 29486288 36857860 73715720 147431440