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10929980 = 2251723161
BaseRepresentation
bin101001101100…
…011100111100
3202120022010002
4221230130330
510244224410
61030133432
7161621555
oct51543474
922508102
1010929980
116195946
1237b1278
132358c59
14164732c
15e5d7a5
hexa6c73c

10929980 has 72 divisors (see below), whose sum is σ = 25581696. Its totient is φ = 3916800.

The previous prime is 10929931. The next prime is 10930009. The reversal of 10929980 is 8992901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179150 + ... + 179210.

Almost surely, 210929980 is an apocalyptic number.

10929980 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 10929980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790848).

10929980 is an abundant number, since it is smaller than the sum of its proper divisors (14651716).

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

10929980 is a wasteful number, since it uses less digits than its factorization.

10929980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 10929980 is about 3306.0520262089. The cubic root of 10929980 is about 221.9251161010.

The spelling of 10929980 in words is "ten million, nine hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 31 34 61 62 68 85 122 124 155 170 244 289 305 310 340 527 578 610 620 1037 1054 1156 1220 1445 1891 2074 2108 2635 2890 3782 4148 5185 5270 5780 7564 8959 9455 10370 10540 17629 17918 18910 20740 32147 35258 35836 37820 44795 64294 70516 88145 89590 128588 160735 176290 179180 321470 352580 546499 642940 1092998 2185996 2732495 5464990 10929980