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BaseRepresentation
bin1011111010100…
…00000000000000
320222001121012101
411331100000000
5201041124100
613530040144
72322332155
oct575200000
9228047171
1099942400
1151462228
1229579054
131792351c
14d3b822c
158b9286a
hex5f50000

99942400 has 102 divisors (see below), whose sum is σ = 251918462. Its totient is φ = 39321600.

The previous prime is 99942397. The next prime is 99942407. The reversal of 99942400 is 424999.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 99680256 = 512^2 + 9984^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 99942400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99942407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638370 + ... + 1638430.

Almost surely, 299942400 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 99942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959231).

99942400 is an abundant number, since it is smaller than the sum of its proper divisors (151976062).

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

99942400 is an frugal number, since it uses more digits than its factorization.

99942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 99942400 is about 9997.1195851605. The cubic root of 99942400 is about 464.0697477394.

The spelling of 99942400 in words is "ninety-nine million, nine hundred forty-two thousand, four hundred".