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10319980 = 2251161769
BaseRepresentation
bin100111010111…
…100001101100
3201102022100111
4213113201230
510120214410
61005105404
7153501256
oct47274154
921368314
1010319980
115909610
123558264
1321a43c8
141528cd6
15d8cb8a
hex9d786c

10319980 has 48 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 3686400.

The previous prime is 10319977. The next prime is 10319989. The reversal of 10319980 is 8991301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13036 + ... + 13804.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 210319980 is an apocalyptic number.

10319980 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 10319980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

10319980 is an abundant number, since it is smaller than the sum of its proper divisors (13740980).

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

10319980 is a wasteful number, since it uses less digits than its factorization.

10319980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 10319980 is about 3212.4725679763. The cubic root of 10319980 is about 217.7173060462.

It can be divided in two parts, 1031 and 9980, that added together give a palindrome (11011).

The spelling of 10319980 in words is "ten million, three hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 769 1220 1342 1538 2684 3076 3355 3845 6710 7690 8459 13420 15380 16918 33836 42295 46909 84590 93818 169180 187636 234545 469090 515999 938180 1031998 2063996 2579995 5159990 10319980