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98112 = 263773
BaseRepresentation
bin10111111101000000
311222120210
4113331000
511114422
62034120
7556020
oct277500
9158523
1098112
1167793
1248940
1335871
1427a80
151e10c
hex17f40

98112 has 56 divisors (see below), whose sum is σ = 300736. Its totient is φ = 27648.

The previous prime is 98101. The next prime is 98123. The reversal of 98112 is 21189.

It is an interprime number because it is at equal distance from previous prime (98101) and next prime (98123).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

98112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 1380.

298112 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 98112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368).

98112 is an abundant number, since it is smaller than the sum of its proper divisors (202624).

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

98112 is a wasteful number, since it uses less digits than its factorization.

98112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 98112 is about 313.2283512072. The cubic root of 98112 is about 46.1219198008.

It can be divided in two parts, 98 and 112, that added together give a triangular number (210 = T20).

The spelling of 98112 in words is "ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 98112