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2099376 = 243261239
BaseRepresentation
bin1000000000100010110000
310221122210200
420000202300
51014140001
6112555200
723562426
oct10004260
93848720
102099376
111204324
12852b00
13586746
143c9116
152b7086
hex2008b0

2099376 has 60 divisors (see below), whose sum is σ = 5996640. Its totient is φ = 685440.

The previous prime is 2099369. The next prime is 2099387. The reversal of 2099376 is 6739902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2099376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8665 + ... + 8903.

It is an arithmetic number, because the mean of its divisors is an integer number (99944).

22099376 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 2099376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998320).

2099376 is an abundant number, since it is smaller than the sum of its proper divisors (3897264).

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

2099376 is a wasteful number, since it uses less digits than its factorization.

2099376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2099376 is about 1448.9223581683. The cubic root of 2099376 is about 128.0452314105.

The spelling of 2099376 in words is "two million, ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 239 244 366 478 488 549 717 732 956 976 1098 1434 1464 1912 2151 2196 2868 2928 3824 4302 4392 5736 8604 8784 11472 14579 17208 29158 34416 43737 58316 87474 116632 131211 174948 233264 262422 349896 524844 699792 1049688 2099376