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2120148 = 223367293
BaseRepresentation
bin1000000101100111010100
310222201022000
420011213110
51020321043
6113235300
724010122
oct10054724
93881260
102120148
111218998
12862b30
13593034
143d2912
152bd2d3
hex2059d4

2120148 has 48 divisors (see below), whose sum is σ = 5597760. Its totient is φ = 693792.

The previous prime is 2120147. The next prime is 2120171. The reversal of 2120148 is 8410212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2120148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120143) 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, 7090 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (116620).

22120148 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 2120148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798880).

2120148 is an abundant number, since it is smaller than the sum of its proper divisors (3477612).

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

2120148 is a wasteful number, since it uses less digits than its factorization.

2120148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2120148 is about 1456.0728003778. The cubic root of 2120148 is about 128.4661550961.

Subtracting 2120148 from its reverse (8410212), we obtain a square (6290064 = 25082).

The spelling of 2120148 in words is "two million, one hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 293 402 586 603 804 879 1172 1206 1758 1809 2412 2637 3516 3618 5274 7236 7911 10548 15822 19631 31644 39262 58893 78524 117786 176679 235572 353358 530037 706716 1060074 2120148