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9998240 = 255779113
BaseRepresentation
bin100110001000…
…111110100000
3200210222000012
4212020332200
510024420430
6554144052
7150661250
oct46107640
920728005
109998240
11570990a
123422028
1320c0b25
141483960
15d27695
hex988fa0

9998240 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3354624.

The previous prime is 9998239. The next prime is 9998249. The reversal of 9998240 is 428999.

It is not an unprimeable number, because it can be changed into a prime (9998249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88424 + ... + 88536.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 29998240 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 9998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

9998240 is an abundant number, since it is smaller than the sum of its proper divisors (17580640).

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

9998240 is a wasteful number, since it uses less digits than its factorization.

9998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 9998240 is about 3161.9993674889. Note that the first 3 decimals coincide. The cubic root of 9998240 is about 215.4308289114.

The spelling of 9998240 in words is "nine million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 113 140 158 160 224 226 280 316 395 452 553 560 565 632 790 791 904 1106 1120 1130 1264 1580 1582 1808 2212 2260 2528 2765 3160 3164 3616 3955 4424 4520 5530 6320 6328 7910 8848 8927 9040 11060 12640 12656 15820 17696 17854 18080 22120 25312 31640 35708 44240 44635 62489 63280 71416 88480 89270 124978 126560 142832 178540 249956 285664 312445 357080 499912 624890 714160 999824 1249780 1428320 1999648 2499560 4999120 9998240