Search a number
-
+
29990560 = 255187441
BaseRepresentation
bin111001001100…
…1111010100000
32002102200022111
41302121322200
530134144220
62550445104
7512626015
oct162317240
962380274
1029990560
1115a24396
12a063794
1362a08c2
143da970c
15297615a
hex1c99ea0

29990560 has 24 divisors (see below), whose sum is σ = 70853076. Its totient is φ = 11996160.

The previous prime is 29990537. The next prime is 29990561. The reversal of 29990560 is 6509992.

It can be written as a sum of positive squares in 2 ways, for example, as 29724304 + 266256 = 5452^2 + 516^2 .

It is a super-2 number, since 2×299905602 = 1798867378227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (29990561) 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, 93561 + ... + 93880.

Almost surely, 229990560 is an apocalyptic number.

29990560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29990560 is an abundant number, since it is smaller than the sum of its proper divisors (40862516).

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

29990560 is a wasteful number, since it uses less digits than its factorization.

29990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187456 (or 187448 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 29990560 is about 5476.3637570928. The cubic root of 29990560 is about 310.6906557598.

The spelling of 29990560 in words is "twenty-nine million, nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 187441 374882 749764 937205 1499528 1874410 2999056 3748820 5998112 7497640 14995280 29990560