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102998016 = 2133211127
BaseRepresentation
bin1100010001110…
…10000000000000
321011210211201100
412020322000000
5202331414031
614115334400
72360316522
oct610720000
9234724640
10102998016
1153159a30
122a5b1400
1318453294
14d971a12
159097de6
hex623a000

102998016 has 168 divisors, whose sum is σ = 327135744. Its totient is φ = 30965760.

The previous prime is 102997991. The next prime is 102998023. The reversal of 102998016 is 610899201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810945 + ... + 811071.

Almost surely, 2102998016 is an apocalyptic number.

102998016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163567872).

102998016 is an abundant number, since it is smaller than the sum of its proper divisors (224137728).

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

102998016 is a wasteful number, since it uses less digits than its factorization.

102998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102998016 is about 10148.7938199571. The cubic root of 102998016 is about 468.7518050064.

The spelling of 102998016 in words is "one hundred two million, nine hundred ninety-eight thousand, sixteen".