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147505040 = 2458920717
BaseRepresentation
bin10001100101010…
…11111110010000
3101021120000212122
420302223332100
5300230130130
622345313412
73440525564
oct1062537620
9337500778
10147505040
11762987a1
1241495868
13247373b7
14158396a4
15ce3a2e5
hex8cabf90

147505040 has 40 divisors (see below), whose sum is σ = 346819320. Its totient is φ = 58336256.

The previous prime is 147505021. The next prime is 147505063. The reversal of 147505040 is 40505741.

147505040 is digitally balanced in base 2 and base 3, because in such bases 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 3888784 + 143616256 = 1972^2 + 11984^2 .

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

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, 3239 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (8670483).

Almost surely, 2147505040 is an apocalyptic number.

147505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147505040 is an abundant number, since it is smaller than the sum of its proper divisors (199314280).

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

147505040 is a wasteful number, since it uses less digits than its factorization.

147505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20819 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 147505040 is about 12145.1652932350. The cubic root of 147505040 is about 528.3669205019.

The spelling of 147505040 in words is "one hundred forty-seven million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 20717 41434 82868 103585 165736 207170 331472 414340 828680 1657360 1843813 3687626 7375252 9219065 14750504 18438130 29501008 36876260 73752520 147505040