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10031980 = 2257131547
BaseRepresentation
bin100110010001…
…001101101100
3200212200021211
4212101031230
510032010410
6555004204
7151161520
oct46211554
920780254
1010031980
1157321a2
123439664
1321032aa
141491d80
15d3268a
hex99136c

10031980 has 48 divisors (see below), whose sum is σ = 24304896. Its totient is φ = 3407040.

The previous prime is 10031951. The next prime is 10031993. The reversal of 10031980 is 8913001.

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, 18067 + ... + 18613.

It is an arithmetic number, because the mean of its divisors is an integer number (506352).

Almost surely, 210031980 is an apocalyptic number.

10031980 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 10031980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152448).

10031980 is an abundant number, since it is smaller than the sum of its proper divisors (14272916).

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

10031980 is a wasteful number, since it uses less digits than its factorization.

10031980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10031980 is about 3167.3301059410. The cubic root of 10031980 is about 215.6728873547.

Adding to 10031980 its reverse (8913001), we get a palindrome (18944981).

It can be divided in two parts, 10031 and 980, that added together give a palindrome (11011).

The spelling of 10031980 in words is "ten million, thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 547 655 917 1094 1310 1834 2188 2620 2735 3668 3829 4585 5470 7658 9170 10940 15316 18340 19145 38290 71657 76580 143314 286628 358285 501599 716570 1003198 1433140 2006396 2507995 5015990 10031980