Search a number
-
+
98012160 = 210335709
BaseRepresentation
bin1011101011110…
…00110000000000
320211102112102000
411311320300000
5200042342120
613420424000
72300042511
oct565706000
9224375360
1098012160
1150363a94
12289a8000
13173c8a7c
14d034a08
158910990
hex5d78c00

98012160 has 176 divisors, whose sum is σ = 348808800. Its totient is φ = 26099712.

The previous prime is 98012153. The next prime is 98012171. The reversal of 98012160 is 6121089.

It is a super-3 number, since 3×980121603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 137886 + ... + 138594.

Almost surely, 298012160 is an apocalyptic number.

98012160 is a gapful number since it is divisible by the number (90) 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 98012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174404400).

98012160 is an abundant number, since it is smaller than the sum of its proper divisors (250796640).

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

98012160 is a wasteful number, since it uses less digits than its factorization.

98012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 98012160 is about 9900.1090903080. The cubic root of 98012160 is about 461.0626974326.

The spelling of 98012160 in words is "ninety-eight million, twelve thousand, one hundred sixty".