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99679104 = 2732747263
BaseRepresentation
bin1011111000011…
…11101110000000
320221120020000200
411330033232000
5201004212404
613520245200
72320154430
oct574175600
9227506020
1099679104
11512a2428
1229470800
1317860725
14d34a2c0
158b3e839
hex5f0fb80

99679104 has 192 divisors, whose sum is σ = 336061440. Its totient is φ = 27767808.

The previous prime is 99679087. The next prime is 99679121. The reversal of 99679104 is 40197699.

It is an interprime number because it is at equal distance from previous prime (99679087) and next prime (99679121).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 99679104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378877 + ... + 379139.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 299679104 is an apocalyptic number.

99679104 is a gapful number since it is divisible by the number (94) 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 99679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

99679104 is an abundant number, since it is smaller than the sum of its proper divisors (236382336).

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

99679104 is a wasteful number, since it uses less digits than its factorization.

99679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 99679104 is about 9983.9423075256. The cubic root of 99679104 is about 463.6618622445.

The spelling of 99679104 in words is "ninety-nine million, six hundred seventy-nine thousand, one hundred four".