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9899136 = 273213661
BaseRepresentation
bin100101110000…
…110010000000
3200121221001200
4211300302000
510013233021
6552101200
7150066312
oct45606200
920557050
109899136
115651405
123394800
1320879a0
1414597b2
15d08126
hex970c80

9899136 has 96 divisors (see below), whose sum is σ = 30723420. Its totient is φ = 3041280.

The previous prime is 9899119. The next prime is 9899143. The reversal of 9899136 is 6319989.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 14400 = 3144^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9899091 and 9899100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14646 + ... + 15306.

Almost surely, 29899136 is an apocalyptic number.

9899136 is a gapful number since it is divisible by the number (96) 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 9899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361710).

9899136 is an abundant number, since it is smaller than the sum of its proper divisors (20824284).

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

9899136 is a wasteful number, since it uses less digits than its factorization.

9899136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9899136 is about 3146.2892429019. The cubic root of 9899136 is about 214.7166702353.

The spelling of 9899136 in words is "nine million, eight hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 661 832 936 1152 1248 1322 1664 1872 1983 2496 2644 3744 3966 4992 5288 5949 7488 7932 8593 10576 11898 14976 15864 17186 21152 23796 25779 31728 34372 42304 47592 51558 63456 68744 77337 84608 95184 103116 126912 137488 154674 190368 206232 253824 274976 309348 380736 412464 549952 618696 761472 824928 1099904 1237392 1649856 2474784 3299712 4949568 9899136