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99468460 = 225713314143
BaseRepresentation
bin1011110110111…
…00010010101100
320221011112002001
411323130102230
5200430442320
613511542044
72315316340
oct573342254
9227145061
1099468460
1151169143
122938a924
13177b88a0
14d2d3620
158aec20a
hex5edc4ac

99468460 has 192 divisors, whose sum is σ = 278175744. Its totient is φ = 29030400.

The previous prime is 99468443. The next prime is 99468461. The reversal of 99468460 is 6486499.

99468460 is a nontrivial binomial coefficient, being equal to C(14105, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 99468460.

It is not an unprimeable number, because it can be changed into a prime (99468461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2313199 + ... + 2313241.

It is an arithmetic number, because the mean of its divisors is an integer number (1448832).

Almost surely, 299468460 is an apocalyptic number.

99468460 is the 14104-th triangular number.

99468460 is the 4702-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99468460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087872).

99468460 is an abundant number, since it is smaller than the sum of its proper divisors (178707284).

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

99468460 is a wasteful number, since it uses less digits than its factorization.

99468460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 99468460 is about 9973.3875889790. The cubic root of 99468460 is about 463.3350252111.

The spelling of 99468460 in words is "ninety-nine million, four hundred sixty-eight thousand, four hundred sixty".