29146900 has 36 divisors (see below), whose sum is σ = 64800540. Its totient is φ = 11372800.

The previous prime is 29146889. The next prime is 29146903. The reversal of 29146900 is 964192.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9909904 + 19236996 = 3148^2 + 4386^2 .

It is a super-2 number, since 2×29146900² = 1699083559220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29146903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 7654.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 2^29146900 is an apocalyptic number.

29146900 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 29146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400270).

29146900 is an abundant number, since it is smaller than the sum of its proper divisors (35653640).

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

29146900 is a wasteful number, since it uses less digits than its factorization.

29146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 29146900 is about 5398.7869007769. The cubic root of 29146900 is about 307.7495715536.

The spelling of 29146900 in words is "twenty-nine million, one hundred forty-six thousand, nine hundred".