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203006980 = 225114631993
BaseRepresentation
bin11000001100110…
…10010000000100
3112010222211020001
430012122100010
5403432210410
632051051044
75013350041
oct1406322004
9463884201
10203006980
11a4657170
1257ba0a84
133309ab97
141cd661c8
1512c5033a
hexc19a404

203006980 has 48 divisors (see below), whose sum is σ = 466308864. Its totient is φ = 73624320.

The previous prime is 203006977. The next prime is 203007029. The reversal of 203006980 is 89600302.

203006980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100864 + ... + 102856.

It is an arithmetic number, because the mean of its divisors is an integer number (9714768).

Almost surely, 2203006980 is an apocalyptic number.

203006980 is a gapful number since it is divisible by the number (20) 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 203006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233154432).

203006980 is an abundant number, since it is smaller than the sum of its proper divisors (263301884).

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

203006980 is a wasteful number, since it uses less digits than its factorization.

203006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 203006980 is about 14248.0517966493. The cubic root of 203006980 is about 587.7198018655.

The spelling of 203006980 in words is "two hundred three million, six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 463 926 1852 1993 2315 3986 4630 5093 7972 9260 9965 10186 19930 20372 21923 25465 39860 43846 50930 87692 101860 109615 219230 438460 922759 1845518 3691036 4613795 9227590 10150349 18455180 20300698 40601396 50751745 101503490 203006980