Search a number
-
+
2120988 = 2231737281
BaseRepresentation
bin1000000101110100011100
310222202110010
420011310130
51020332423
6113243220
724012432
oct10056434
93882403
102120988
111219591
12863510
1359352c
143d2d52
152bd693
hex205d1c

2120988 has 48 divisors (see below), whose sum is σ = 5400864. Its totient is φ = 645120.

The previous prime is 2120981. The next prime is 2121011. The reversal of 2120988 is 8890212.

It is a super-2 number, since 2×21209882 = 8997180192288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120981) 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, 7408 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (112518).

22120988 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 2120988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700432).

2120988 is an abundant number, since it is smaller than the sum of its proper divisors (3279876).

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

2120988 is a wasteful number, since it uses less digits than its factorization.

With its successor (2120989) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (340).

2120988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2120988 is about 1456.3612189289. The cubic root of 2120988 is about 128.4831188996.

The spelling of 2120988 in words is "two million, one hundred twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 281 444 562 629 843 1124 1258 1686 1887 2516 3372 3774 4777 7548 9554 10397 14331 19108 20794 28662 31191 41588 57324 62382 124764 176749 353498 530247 706996 1060494 2120988