Search a number
-
+
29717920 = 255185737
BaseRepresentation
bin111000101011…
…1010110100000
32001220211022201
41301113112200
530101433140
62540542544
7510412111
oct161272640
961824281
1029717920
1115858571
129b51a54
13620678b
143d38208
15292049a
hex1c575a0

29717920 has 24 divisors (see below), whose sum is σ = 70208964. Its totient is φ = 11887104.

The previous prime is 29717911. The next prime is 29717929. The reversal of 29717920 is 2971792.

It is an interprime number because it is at equal distance from previous prime (29717911) and next prime (29717929).

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 3952144 = 5076^2 + 1988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29717920.

It is not an unprimeable number, because it can be changed into a prime (29717929) 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, 92709 + ... + 93028.

Almost surely, 229717920 is an apocalyptic number.

29717920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29717920 is an abundant number, since it is smaller than the sum of its proper divisors (40491044).

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

29717920 is a wasteful number, since it uses less digits than its factorization.

29717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185752 (or 185744 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 29717920 is about 5451.4144953397. The cubic root of 29717920 is about 309.7463064903.

The spelling of 29717920 in words is "twenty-nine million, seven hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 185737 371474 742948 928685 1485896 1857370 2971792 3714740 5943584 7429480 14858960 29717920