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29203020 = 22325731143
BaseRepresentation
bin110111101100…
…1101001001100
32000221200000100
41233121221030
524433444040
62521531100
7503136000
oct157315114
960850010
1029203020
1115536730
129943a90
1360862c2
143c42700
15286cb30
hex1bd9a4c

29203020 has 288 divisors, whose sum is σ = 115315200. Its totient is φ = 5927040.

The previous prime is 29203007. The next prime is 29203021. The reversal of 29203020 is 2030292.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 29202984 and 29203002.

It is not an unprimeable number, because it can be changed into a prime (29203021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679119 + ... + 679161.

It is an arithmetic number, because the mean of its divisors is an integer number (400400).

Almost surely, 229203020 is an apocalyptic number.

29203020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600).

29203020 is an abundant number, since it is smaller than the sum of its proper divisors (86112180).

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

29203020 is a wasteful number, since it uses less digits than its factorization.

29203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29203020 is about 5403.9818652545. The cubic root of 29203020 is about 307.9469605638.

The spelling of 29203020 in words is "twenty-nine million, two hundred three thousand, twenty".