Search a number
-
+
2047980 = 22351129107
BaseRepresentation
bin111110011111111101100
310212001022010
413303333230
51011013410
6111521220
723256534
oct7637754
93761263
102047980
111179750
12829210
1356922c
143b44c4
152a6c20
hex1f3fec

2047980 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 474880.

The previous prime is 2047967. The next prime is 2047993. The reversal of 2047980 is 897402.

It is an interprime number because it is at equal distance from previous prime (2047967) and next prime (2047993).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19087 + ... + 19193.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22047980 is an apocalyptic number.

2047980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2047980 is an abundant number, since it is smaller than the sum of its proper divisors (4483860).

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

2047980 is a wasteful number, since it uses less digits than its factorization.

2047980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2047980 is about 1431.0765178704. The cubic root of 2047980 is about 126.9916707704.

The spelling of 2047980 in words is "two million, forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 107 110 116 132 145 165 174 214 220 290 319 321 330 348 428 435 535 580 638 642 660 870 957 1070 1177 1276 1284 1595 1605 1740 1914 2140 2354 3103 3190 3210 3531 3828 4708 4785 5885 6206 6380 6420 7062 9309 9570 11770 12412 14124 15515 17655 18618 19140 23540 31030 34133 35310 37236 46545 62060 68266 70620 93090 102399 136532 170665 186180 204798 341330 409596 511995 682660 1023990 2047980