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12098840 = 2351353439
BaseRepresentation
bin101110001001…
…110100011000
3211202200111012
4232021310120
511044130330
61111153052
7204560405
oct56116430
924680435
1012098840
116914046
124075788
132677ca0
14186d2ac
1510dec95
hexb89d18

12098840 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4372992.

The previous prime is 12098837. The next prime is 12098857. The reversal of 12098840 is 4889021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12098797 and 12098806.

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 15 ways as a sum of consecutive naturals, for example, 27341 + ... + 27779.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 212098840 is an apocalyptic number.

12098840 is a gapful number since it is divisible by the number (10) 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 12098840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12098840 is an abundant number, since it is smaller than the sum of its proper divisors (17838760).

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

12098840 is a wasteful number, since it uses less digits than its factorization.

12098840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 12098840 is about 3478.3386839122. The cubic root of 12098840 is about 229.5697058858.

The spelling of 12098840 in words is "twelve million, ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 439 520 530 689 878 1060 1378 1756 2120 2195 2756 3445 3512 4390 5512 5707 6890 8780 11414 13780 17560 22828 23267 27560 28535 45656 46534 57070 93068 114140 116335 186136 228280 232670 302471 465340 604942 930680 1209884 1512355 2419768 3024710 6049420 12098840