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9996840 = 2332573967
BaseRepresentation
bin100110001000…
…101000101000
3200210220002100
4212020220220
510024344330
6554133400
7150654210
oct46105050
920726070
109996840
115708857
123421260
1320c02b9
141483240
15d27060
hex988a28

9996840 has 96 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 2284416.

The previous prime is 9996829. The next prime is 9996859. The reversal of 9996840 is 486999.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 29996840 is an apocalyptic number.

9996840 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 9996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

9996840 is an abundant number, since it is smaller than the sum of its proper divisors (27143640).

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

9996840 is a wasteful number, since it uses less digits than its factorization.

9996840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3984 counting only the distinct ones).

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

The square root of 9996840 is about 3161.7779808203. Note that the first 3 decimals coincide. The cubic root of 9996840 is about 215.4207732337.

The spelling of 9996840 in words is "nine million, nine hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 3967 7934 11901 15868 19835 23802 27769 31736 35703 39670 47604 55538 59505 71406 79340 83307 95208 111076 119010 138845 142812 158680 166614 178515 222152 238020 249921 277690 285624 333228 357030 416535 476040 499842 555380 666456 714060 833070 999684 1110760 1249605 1428120 1666140 1999368 2499210 3332280 4998420 9996840