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1820988 = 2233131297
BaseRepresentation
bin110111100100100111100
310102111221000
412330210330
5431232423
6103010300
721323001
oct6744474
93374830
101820988
111034154
12739990
134b9b10
143558a8
1525e843
hex1bc93c

1820988 has 48 divisors (see below), whose sum is σ = 5088160. Its totient is φ = 559872.

The previous prime is 1820983. The next prime is 1820999. The reversal of 1820988 is 8890281.

It is a super-2 number, since 2×18209882 = 6631994592288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820983) 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, 756 + ... + 2052.

21820988 is an apocalyptic number.

1820988 is a gapful number since it is divisible by the number (18) 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 1820988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544080).

1820988 is an abundant number, since it is smaller than the sum of its proper divisors (3267172).

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

1820988 is a wasteful number, since it uses less digits than its factorization.

1820988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1820988 is about 1349.4398838036. The cubic root of 1820988 is about 122.1150039818.

It can be divided in two parts, 182098 and 8, that added together give a triangular number (182106 = T603).

The spelling of 1820988 in words is "one million, eight hundred twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1297 1404 2594 3891 5188 7782 11673 15564 16861 23346 33722 35019 46692 50583 67444 70038 101166 140076 151749 202332 303498 455247 606996 910494 1820988