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2124048 = 2431719137
BaseRepresentation
bin1000000110100100010000
310222220122110
420012210100
51020432143
6113305320
724024363
oct10064420
93886573
102124048
111220913
12865240
13594a44
143d40da
152be533
hex206910

2124048 has 80 divisors (see below), whose sum is σ = 6160320. Its totient is φ = 626688.

The previous prime is 2124043. The next prime is 2124049. The reversal of 2124048 is 8404212.

2124048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2124041) 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, 15436 + ... + 15572.

It is an arithmetic number, because the mean of its divisors is an integer number (77004).

22124048 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 2124048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080160).

2124048 is an abundant number, since it is smaller than the sum of its proper divisors (4036272).

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

2124048 is a wasteful number, since it uses less digits than its factorization.

2124048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2124048 is about 1457.4114038253. The cubic root of 2124048 is about 128.5448777626.

The spelling of 2124048 in words is "two million, one hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 137 152 204 228 272 274 304 323 408 411 456 548 646 816 822 912 969 1096 1292 1644 1938 2192 2329 2584 2603 3288 3876 4658 5168 5206 6576 6987 7752 7809 9316 10412 13974 15504 15618 18632 20824 27948 31236 37264 41648 44251 55896 62472 88502 111792 124944 132753 177004 265506 354008 531012 708016 1062024 2124048