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29130192 = 2434713219
BaseRepresentation
bin110111100011…
…1110111010000
32000210222010000
41233013313100
524424131232
62520210000
7502413450
oct157076720
960728100
1029130192
1115496a43
129909900
13605c100
143c23d60
15285627c
hex1bc7dd0

29130192 has 300 divisors, whose sum is σ = 109829280. Its totient is φ = 7278336.

The previous prime is 29130187. The next prime is 29130203. The reversal of 29130192 is 29103192.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533159 + ... + 1533177.

Almost surely, 229130192 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 29130192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54914640).

29130192 is an abundant number, since it is smaller than the sum of its proper divisors (80699088).

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

29130192 is a wasteful number, since it uses less digits than its factorization.

29130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29130192 is about 5397.2392943059. The cubic root of 29130192 is about 307.6907561204.

Subtracting from 29130192 its reverse (29103192), we obtain a cube (27000 = 303).

The spelling of 29130192 in words is "twenty-nine million, one hundred thirty thousand, one hundred ninety-two".