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9998640 = 243451543
BaseRepresentation
bin100110001001…
…000100110000
3200210222120000
4212021010300
510024424030
6554150000
7150662361
oct46110460
920728500
109998640
11570a143
123422300
1320c1072
141483b68
15d27860
hex989130

9998640 has 100 divisors (see below), whose sum is σ = 34749264. Its totient is φ = 2664576.

The previous prime is 9998633. The next prime is 9998641. The reversal of 9998640 is 468999.

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9998641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5709 + ... + 7251.

Almost surely, 29998640 is an apocalyptic number.

9998640 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 9998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374632).

9998640 is an abundant number, since it is smaller than the sum of its proper divisors (24750624).

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

9998640 is a wasteful number, since it uses less digits than its factorization.

9998640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1553 counting only the distinct ones).

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

The square root of 9998640 is about 3162.0626179758. The cubic root of 9998640 is about 215.4337017898.

The spelling of 9998640 in words is "nine million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1543 1620 2160 3086 3240 4629 6172 6480 7715 9258 12344 13887 15430 18516 23145 24688 27774 30860 37032 41661 46290 55548 61720 69435 74064 83322 92580 111096 123440 124983 138870 166644 185160 208305 222192 249966 277740 333288 370320 416610 499932 555480 624915 666576 833220 999864 1110960 1249830 1666440 1999728 2499660 3332880 4999320 9998640