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99906180 = 2235111931257
BaseRepresentation
bin1011111010001…
…11001010000100
320221222202111220
411331013022010
5201033444210
613525200340
72322121443
oct575071204
9227882456
1099906180
1151437aa0
12295600b0
131790cbaa
14d3a8d5a
158b86c70
hex5f47284

99906180 has 192 divisors, whose sum is σ = 332881920. Its totient is φ = 22118400.

The previous prime is 99906167. The next prime is 99906193. The reversal of 99906180 is 8160999.

99906180 is a nontrivial binomial coefficient, being equal to C(14136, 2).

It is an interprime number because it is at equal distance from previous prime (99906167) and next prime (99906193).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388612 + ... + 388868.

It is an arithmetic number, because the mean of its divisors is an integer number (1733760).

Almost surely, 299906180 is an apocalyptic number.

99906180 is the 14135-th triangular number and also the 7068-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99906180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

99906180 is an abundant number, since it is smaller than the sum of its proper divisors (232975740).

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

99906180 is a wasteful number, since it uses less digits than its factorization.

99906180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 99906180 is about 9995.3078992095. The cubic root of 99906180 is about 464.0136799871.

The spelling of 99906180 in words is "ninety-nine million, nine hundred six thousand, one hundred eighty".