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99114480 = 24325137659
BaseRepresentation
bin1011110100001…
…01110111110000
320220111112111200
411322011313300
5200333130410
613500211200
72312313333
oct572056760
9226445450
1099114480
1150a471a3
1229239b00
13176c372a
14d24061a
158a7c3c0
hex5e85df0

99114480 has 60 divisors (see below), whose sum is σ = 332861880. Its totient is φ = 26430336.

The previous prime is 99114479. The next prime is 99114497. The reversal of 99114480 is 8441199.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×991144803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68110 + ... + 69549.

It is an arithmetic number, because the mean of its divisors is an integer number (5547698).

Almost surely, 299114480 is an apocalyptic number.

99114480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99114480 is an abundant number, since it is smaller than the sum of its proper divisors (233747400).

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

99114480 is a wasteful number, since it uses less digits than its factorization.

99114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137678 (or 137669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 99114480 is about 9955.6255453889. The cubic root of 99114480 is about 462.7847460091.

The spelling of 99114480 in words is "ninety-nine million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 137659 275318 412977 550636 688295 825954 1101272 1238931 1376590 1651908 2064885 2202544 2477862 2753180 3303816 4129770 4955724 5506360 6194655 6607632 8259540 9911448 11012720 12389310 16519080 19822896 24778620 33038160 49557240 99114480