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30039040 = 21055867
BaseRepresentation
bin111001010010…
…1110000000000
32002112010211001
41302211300000
530142222130
62551501344
7513220243
oct162456000
962463731
1030039040
1115a57859
12a087854
1362b99a5
143dbd25a
1529856ca
hex1ca5c00

30039040 has 44 divisors (see below), whose sum is σ = 72070776. Its totient is φ = 12013568.

The previous prime is 30039007. The next prime is 30039043. The reversal of 30039040 is 4093003.

It is a junction number, because it is equal to n+sod(n) for n = 30038999 and 30039017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30039043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2187 + ... + 8053.

Almost surely, 230039040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36035388).

30039040 is an abundant number, since it is smaller than the sum of its proper divisors (42031736).

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

30039040 is an equidigital number, since it uses as much as digits as its factorization.

30039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 30039040 is about 5480.7882644744. The cubic root of 30039040 is about 310.8579770121.

It can be divided in two parts, 300 and 39040, that added together give a triangular number (39340 = T280).

The spelling of 30039040 in words is "thirty million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 5867 11734 23468 29335 46936 58670 93872 117340 187744 234680 375488 469360 750976 938720 1501952 1877440 3003904 3754880 6007808 7509760 15019520 30039040