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9880000 = 26541319
BaseRepresentation
bin100101101100…
…000111000000
3200120221210221
4211230013000
510012130000
6551432424
7146656444
oct45540700
920527727
109880000
115638a99
123385714
13207c070
141452824
15d0261a
hex96c1c0

9880000 has 140 divisors (see below), whose sum is σ = 27772360. Its totient is φ = 3456000.

The previous prime is 9879997. The next prime is 9880001. The reversal of 9880000 is 889.

It is a super-2 number, since 2×98800002 = 195228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9880001) 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, 519991 + ... + 520009.

It is an arithmetic number, because the mean of its divisors is an integer number (198374).

Almost surely, 29880000 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 9880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886180).

9880000 is an abundant number, since it is smaller than the sum of its proper divisors (17892360).

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

9880000 is a wasteful number, since it uses less digits than its factorization.

9880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 9880000 is about 3143.2467291003. The cubic root of 9880000 is about 214.5782248656.

Adding to 9880000 its reverse (889), we get a palindrome (9880889).

It can be divided in two parts, 98 and 80000, that multiplied together give a square (7840000 = 28002).

The spelling of 9880000 in words is "nine million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 130 152 160 190 200 208 247 250 260 304 320 325 380 400 416 475 494 500 520 608 625 650 760 800 832 950 988 1000 1040 1216 1235 1250 1300 1520 1600 1625 1900 1976 2000 2080 2375 2470 2500 2600 3040 3250 3800 3952 4000 4160 4750 4940 5000 5200 6080 6175 6500 7600 7904 8000 8125 9500 9880 10000 10400 11875 12350 13000 15200 15808 16250 19000 19760 20000 20800 23750 24700 26000 30400 30875 32500 38000 39520 40000 47500 49400 52000 61750 65000 76000 79040 95000 98800 104000 123500 130000 152000 154375 190000 197600 247000 260000 308750 380000 395200 494000 520000 617500 760000 988000 1235000 1976000 2470000 4940000 9880000