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2630124 = 22337371
BaseRepresentation
bin1010000010000111101100
311221121212000
422002013230
51133130444
6132212300
731233000
oct12020754
94847760
102630124
111537062
12a6a090
137111b3
144c6700
1536e469
hex2821ec

2630124 has 96 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 740880.

The previous prime is 2630107. The next prime is 2630129. The reversal of 2630124 is 4210362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2630097 and 2630106.

It is not an unprimeable number, because it can be changed into a prime (2630129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37009 + ... + 37079.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

22630124 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 2630124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2630124 is an abundant number, since it is smaller than the sum of its proper divisors (5433876).

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

2630124 is a wasteful number, since it uses less digits than its factorization.

2630124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2630124 is about 1621.7657044099. The cubic root of 2630124 is about 138.0359074803.

Adding to 2630124 its reverse (4210362), we get a palindrome (6840486).

The spelling of 2630124 in words is "two million, six hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 84 98 108 126 142 147 189 196 213 252 284 294 343 378 426 441 497 588 639 686 756 852 882 994 1029 1278 1323 1372 1491 1764 1917 1988 2058 2556 2646 2982 3087 3479 3834 4116 4473 5292 5964 6174 6958 7668 8946 9261 10437 12348 13419 13916 17892 18522 20874 24353 26838 31311 37044 41748 48706 53676 62622 73059 93933 97412 125244 146118 187866 219177 292236 375732 438354 657531 876708 1315062 2630124