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99075712 = 276112689
BaseRepresentation
bin1011110011111…
…00011010000000
320220102120022211
411321330122000
5200330410322
613455311504
72312062321
oct571743200
9226376284
1099075712
1150a2005a
122921b594
13176abba8
14d230448
158a70b77
hex5e7c680

99075712 has 32 divisors (see below), whose sum is σ = 200628900. Its totient is φ = 48721920.

The previous prime is 99075701. The next prime is 99075733. The reversal of 99075712 is 21757099.

It can be written as a sum of positive squares in 2 ways, for example, as 74235456 + 24840256 = 8616^2 + 4984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1464 + ... + 14152.

Almost surely, 299075712 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 99075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100314450).

99075712 is an abundant number, since it is smaller than the sum of its proper divisors (101553188).

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

99075712 is a wasteful number, since it uses less digits than its factorization.

99075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The square root of 99075712 is about 9953.6783150753. The cubic root of 99075712 is about 462.7243997013.

The spelling of 99075712 in words is "ninety-nine million, seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 12689 25378 50756 101512 203024 406048 774029 812096 1548058 1624192 3096116 6192232 12384464 24768928 49537856 99075712