Search a number
-
+
29690960 = 2451328549
BaseRepresentation
bin111000101000…
…0110001010000
32001212110100012
41301100301100
530100102320
62540214052
7510240365
oct161206120
961773305
1029690960
111583a292
129b3a328
1361c7420
143d2c46c
1529174c5
hex1c50c50

29690960 has 40 divisors (see below), whose sum is σ = 74344200. Its totient is φ = 10962432.

The previous prime is 29690951. The next prime is 29690987. The reversal of 29690960 is 6909692.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 29637136 = 232^2 + 5444^2 .

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

It is a congruent number.

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, 13235 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (1858605).

Almost surely, 229690960 is an apocalyptic number.

29690960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29690960 is an abundant number, since it is smaller than the sum of its proper divisors (44653240).

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

29690960 is a wasteful number, since it uses less digits than its factorization.

29690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575 (or 28569 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 29690960 is about 5448.9411815508. The cubic root of 29690960 is about 309.6526112053.

The spelling of 29690960 in words is "twenty-nine million, six hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 28549 57098 114196 142745 228392 285490 371137 456784 570980 742274 1141960 1484548 1855685 2283920 2969096 3711370 5938192 7422740 14845480 29690960