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2029980 = 2235231471
BaseRepresentation
bin111101111100110011100
310211010121110
413233212130
51004424410
6111302020
723153211
oct7574634
93733543
102029980
111167177
1281a910
13560c94
143abb08
152a1720
hex1ef99c

2029980 has 48 divisors (see below), whose sum is σ = 5935104. Its totient is φ = 517440.

The previous prime is 2029967. The next prime is 2029981. The reversal of 2029980 is 899202.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (123648).

22029980 is an apocalyptic number.

2029980 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 2029980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967552).

2029980 is an abundant number, since it is smaller than the sum of its proper divisors (3905124).

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

2029980 is a wasteful number, since it uses less digits than its factorization.

2029980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2029980 is about 1424.7736662361. The cubic root of 2029980 is about 126.6185258734.

The spelling of 2029980 in words is "two million, twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1471 2942 4413 5884 7355 8826 14710 17652 22065 29420 33833 44130 67666 88260 101499 135332 169165 202998 338330 405996 507495 676660 1014990 2029980