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4099980 = 2235232971
BaseRepresentation
bin1111101000111110001100
321201022010010
433220332030
52022144410
6223513220
746564203
oct17507614
97638103
104099980
112350415
121458810
13b07231
1478a23a
1555ec20
hex3e8f8c

4099980 has 48 divisors (see below), whose sum is σ = 11983104. Its totient is φ = 1045440.

The previous prime is 4099961. The next prime is 4099981. The reversal of 4099980 is 899904.

4099980 = T399 + T400 + ... + T444.

It is not an unprimeable number, because it can be changed into a prime (4099981) 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, 106 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (249648).

Almost surely, 24099980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991552).

4099980 is an abundant number, since it is smaller than the sum of its proper divisors (7883124).

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

4099980 is a wasteful number, since it uses less digits than its factorization.

4099980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 4099980 is about 2024.8407344777. The cubic root of 4099980 is about 160.0518061406.

The spelling of 4099980 in words is "four million, ninety-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 2971 5942 8913 11884 14855 17826 29710 35652 44565 59420 68333 89130 136666 178260 204999 273332 341665 409998 683330 819996 1024995 1366660 2049990 4099980