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9899960 = 235725051
BaseRepresentation
bin100101110000…
…111110111000
3200121222012012
4211300332320
510013244320
6552105052
7150101600
oct45607670
920558165
109899960
115651a94
123395188
132088185
141459c00
15d084c5
hex970fb8

9899960 has 48 divisors (see below), whose sum is σ = 25916760. Its totient is φ = 3393600.

The previous prime is 9899951. The next prime is 9899963. The reversal of 9899960 is 699989.

It is a junction number, because it is equal to n+sod(n) for n = 9899899 and 9899908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9899963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 566 + ... + 4485.

Almost surely, 29899960 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 9899960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958380).

9899960 is an abundant number, since it is smaller than the sum of its proper divisors (16016800).

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

9899960 is a wasteful number, since it uses less digits than its factorization.

9899960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 50.

The square root of 9899960 is about 3146.4201880868. The cubic root of 9899960 is about 214.7226277124.

The spelling of 9899960 in words is "nine million, eight hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5051 10102 20204 25255 35357 40408 50510 70714 101020 141428 176785 202040 247499 282856 353570 494998 707140 989996 1237495 1414280 1979992 2474990 4949980 9899960