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2048980 = 225531933
BaseRepresentation
bin111110100001111010100
310212002200011
413310033110
51011031410
6111530004
723262463
oct7641724
93762604
102048980
11117a47a
12829904
1356981b
143b49da
152a718a
hex1f43d4

2048980 has 24 divisors (see below), whose sum is σ = 4386312. Its totient is φ = 803712.

The previous prime is 2048957. The next prime is 2048983. The reversal of 2048980 is 898402.

It can be written as a sum of positive squares in 4 ways, for example, as 521284 + 1527696 = 722^2 + 1236^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 2026.

It is an arithmetic number, because the mean of its divisors is an integer number (182763).

22048980 is an apocalyptic number.

2048980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048980 is an abundant number, since it is smaller than the sum of its proper divisors (2337332).

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

2048980 is a wasteful number, since it uses less digits than its factorization.

2048980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2048980 is about 1431.4258625580. The cubic root of 2048980 is about 127.0123368262.

The spelling of 2048980 in words is "two million, forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1933 3866 7732 9665 19330 38660 102449 204898 409796 512245 1024490 2048980