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30795040 = 255197977
BaseRepresentation
bin111010101111…
…0010100100000
32010221112212001
41311132110200
530340420130
63020013344
7522516313
oct165362440
963845761
1030795040
1116423851
12a391254
1364c2b23
14413897a
152a846ca
hex1d5e520

30795040 has 48 divisors (see below), whose sum is σ = 73197432. Its totient is φ = 12242944.

The previous prime is 30795019. The next prime is 30795049. The reversal of 30795040 is 4059703.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 456976 = 5508^2 + 676^2 .

It is not an unprimeable number, because it can be changed into a prime (30795049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31032 + ... + 32008.

Almost surely, 230795040 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 30795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36598716).

30795040 is an abundant number, since it is smaller than the sum of its proper divisors (42402392).

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

30795040 is a wasteful number, since it uses less digits than its factorization.

30795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 30795040 is about 5549.3278872310. The cubic root of 30795040 is about 313.4442140647. Note that the first 3 decimals are identical.

The spelling of 30795040 in words is "thirty million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 977 985 1576 1954 1970 3152 3908 3940 4885 6304 7816 7880 9770 15632 15760 19540 31264 31520 39080 78160 156320 192469 384938 769876 962345 1539752 1924690 3079504 3849380 6159008 7698760 15397520 30795040