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29130416 = 2471991307
BaseRepresentation
bin110111100011…
…1111010110000
32000210222102022
41233013322300
524424133131
62520211012
7502414220
oct157077260
960728368
1029130416
1115497127
129909a68
13605c243
143c24080
15285637b
hex1bc7eb0

29130416 has 40 divisors (see below), whose sum is σ = 64876800. Its totient is φ = 12412224.

The previous prime is 29130407. The next prime is 29130457. The reversal of 29130416 is 61403192.

It is a super-2 number, since 2×291304162 = 1697162272666112, which contains 22 as substring.

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, 21635 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (1621920).

Almost surely, 229130416 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 29130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32438400).

29130416 is an abundant number, since it is smaller than the sum of its proper divisors (35746384).

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

29130416 is a wasteful number, since it uses less digits than its factorization.

29130416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 29130416 is about 5397.2600456157. The cubic root of 29130416 is about 307.6915447930.

The spelling of 29130416 in words is "twenty-nine million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 796 1307 1393 1592 2614 2786 3184 5228 5572 9149 10456 11144 18298 20912 22288 36596 73192 146384 260093 520186 1040372 1820651 2080744 3641302 4161488 7282604 14565208 29130416