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99321400 = 23524311549
BaseRepresentation
bin1011110101110…
…00011000111000
320220220001100101
411322320120320
5200411241100
613504445144
72314134523
oct572703070
9226801311
1099321400
1151078702
12293197b4
1317766979
14d295bba
158abd86a
hex5eb8638

99321400 has 48 divisors (see below), whose sum is σ = 236313000. Its totient is φ = 38801280.

The previous prime is 99321389. The next prime is 99321401. The reversal of 99321400 is 412399.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99321401) 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, 2826 + ... + 14374.

Almost surely, 299321400 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 99321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118156500).

99321400 is an abundant number, since it is smaller than the sum of its proper divisors (136991600).

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

99321400 is a wasteful number, since it uses less digits than its factorization.

99321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11608 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 99321400 is about 9966.0122416140. The cubic root of 99321400 is about 463.1065720371.

Adding to 99321400 its reverse (412399), we get a palindrome (99733799).

The spelling of 99321400 in words is "ninety-nine million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 11549 23098 46196 57745 92392 115490 230980 288725 461960 496607 577450 993214 1154900 1986428 2309800 2483035 3972856 4966070 9932140 12415175 19864280 24830350 49660700 99321400