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10998820 = 2257251313
BaseRepresentation
bin101001111101…
…010000100100
3202200210112201
4221331100210
510303430240
61031424244
7162326350
oct51752044
922623481
1010998820
116232638
123825084
1323813a1
141664460
15e73d9a
hexa7d424

10998820 has 48 divisors (see below), whose sum is σ = 26587008. Its totient is φ = 3744000.

The previous prime is 10998811. The next prime is 10998833. The reversal of 10998820 is 2889901.

It is a self number, because there is not a number n which added to its sum of digits gives 10998820.

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, 34984 + ... + 35296.

It is an arithmetic number, because the mean of its divisors is an integer number (553896).

Almost surely, 210998820 is an apocalyptic number.

10998820 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 10998820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293504).

10998820 is an abundant number, since it is smaller than the sum of its proper divisors (15588188).

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

10998820 is a wasteful number, since it uses less digits than its factorization.

10998820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 10998820 is about 3316.4468938911. The cubic root of 10998820 is about 222.3900563589.

The spelling of 10998820 in words is "ten million, nine hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 313 502 626 1004 1252 1255 1565 1757 2191 2510 3130 3514 4382 5020 6260 7028 8764 8785 10955 17570 21910 35140 43820 78563 157126 314252 392815 549941 785630 1099882 1571260 2199764 2749705 5499410 10998820