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9948420 = 223552389
BaseRepresentation
bin100101111100…
…110100000100
3200201102200000
4211330310010
510021322140
6553121300
7150363066
oct45746404
920642600
109948420
115685439
1233b9230
1320a4251
14146d736
15d17a30
hex97cd04

9948420 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2509056.

The previous prime is 9948413. The next prime is 9948431. The reversal of 9948420 is 248499.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111736 + ... + 111824.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 29948420 is an apocalyptic number.

9948420 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 9948420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9948420 is an abundant number, since it is smaller than the sum of its proper divisors (23073660).

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

9948420 is a wasteful number, since it uses less digits than its factorization.

9948420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9948420 is about 3154.1116023375. Note that the first 3 decimals coincide. The cubic root of 9948420 is about 215.0724111602.

The spelling of 9948420 in words is "nine million, nine hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 89 90 92 108 115 135 138 162 178 180 207 230 243 267 270 276 324 345 356 405 414 445 460 486 534 540 621 690 801 810 828 890 972 1035 1068 1215 1242 1335 1380 1602 1620 1780 1863 2047 2070 2403 2430 2484 2670 3105 3204 3726 4005 4094 4140 4806 4860 5340 5589 6141 6210 7209 7452 8010 8188 9315 9612 10235 11178 12015 12282 12420 14418 16020 18423 18630 20470 21627 22356 24030 24564 27945 28836 30705 36045 36846 37260 40940 43254 48060 55269 55890 61410 72090 73692 86508 92115 108135 110538 111780 122820 144180 165807 184230 216270 221076 276345 331614 368460 432540 497421 552690 663228 829035 994842 1105380 1658070 1989684 2487105 3316140 4974210 9948420