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98503680 = 2103511253
BaseRepresentation
bin1011101111100…
…00110000000000
320212100111122110
411313300300000
5200204104210
613435135320
72304160512
oct567606000
9225314573
1098503680
115066a300
1228ba4540
131753b702
14d121bb2
1589ab420
hex5df0c00

98503680 has 264 divisors, whose sum is σ = 352837296. Its totient is φ = 23429120.

The previous prime is 98503649. The next prime is 98503703. The reversal of 98503680 is 8630589.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858534 + ... + 1858586.

Almost surely, 298503680 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 98503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176418648).

98503680 is an abundant number, since it is smaller than the sum of its proper divisors (254333616).

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

98503680 is a wasteful number, since it uses less digits than its factorization.

98503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 98503680 is about 9924.9020146297. The cubic root of 98503680 is about 461.8321385637.

It can be divided in two parts, 9850 and 3680, that added together give a triangular number (13530 = T164).

The spelling of 98503680 in words is "ninety-eight million, five hundred three thousand, six hundred eighty".