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9986940 = 22325113491
BaseRepresentation
bin100110000110…
…001101111100
3200210101111200
4212012031330
510024040230
6554015500
7150613305
oct46061574
920711450
109986940
115701377
123417590
1320b8942
14147d7ac
15d24160
hex98637c

9986940 has 72 divisors (see below), whose sum is σ = 30624048. Its totient is φ = 2634240.

The previous prime is 9986917. The next prime is 9986941. The reversal of 9986940 is 496899.

9986940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9986941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20095 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (425334).

Almost surely, 29986940 is an apocalyptic number.

9986940 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 9986940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312024).

9986940 is an abundant number, since it is smaller than the sum of its proper divisors (20637108).

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

9986940 is a wasteful number, since it uses less digits than its factorization.

9986940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9986940 is about 3160.2120182038. The cubic root of 9986940 is about 215.3496384202.

The spelling of 9986940 in words is "nine million, nine hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 491 565 678 982 1017 1130 1356 1473 1695 1964 2034 2260 2455 2946 3390 4068 4419 4910 5085 5892 6780 7365 8838 9820 10170 14730 17676 20340 22095 29460 44190 55483 88380 110966 166449 221932 277415 332898 499347 554830 665796 832245 998694 1109660 1664490 1997388 2496735 3328980 4993470 9986940