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99303400 = 23527210133
BaseRepresentation
bin1011110101100…
…11111111101000
320220212010122201
411322303333220
5200410202100
613504225544
72314031200
oct572637750
9226763581
1099303400
1151066129
122930b2b4
131775b711
14d28d400
158ab836a
hex5eb3fe8

99303400 has 72 divisors (see below), whose sum is σ = 268601670. Its totient is φ = 34043520.

The previous prime is 99303389. The next prime is 99303401. The reversal of 99303400 is 430399.

It can be written as a sum of positive squares in 3 ways, for example, as 86155524 + 13147876 = 9282^2 + 3626^2 .

It is a super-2 number, since 2×993034002 = 19722330503120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (99303401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4734 + ... + 14866.

Almost surely, 299303400 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 99303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134300835).

99303400 is an abundant number, since it is smaller than the sum of its proper divisors (169298270).

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

99303400 is a wasteful number, since it uses less digits than its factorization.

99303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 99303400 is about 9965.1091313643. The cubic root of 99303400 is about 463.0785941058.

Adding to 99303400 its reverse (430399), we get a palindrome (99733799).

The spelling of 99303400 in words is "ninety-nine million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 10133 20266 40532 50665 70931 81064 101330 141862 202660 253325 283724 354655 405320 496517 506650 567448 709310 993034 1013300 1418620 1773275 1986068 2026600 2482585 2837240 3546550 3972136 4965170 7093100 9930340 12412925 14186200 19860680 24825850 49651700 99303400