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2190672 = 243311461
BaseRepresentation
bin1000010110110101010000
311010022001000
420112311100
51030100142
6114542000
724422541
oct10266520
94108030
102190672
111266980
12897900
135b9173
144104c8
152d414c
hex216d50

2190672 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 662400.

The previous prime is 2190653. The next prime is 2190679. The reversal of 2190672 is 2760912.

It is a super-3 number, since 3×21906723 = 31539392714431033344, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190679) 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, 4522 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22190672 is an apocalyptic number.

2190672 is a gapful number since it is divisible by the number (22) 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 2190672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2190672 is an abundant number, since it is smaller than the sum of its proper divisors (4683888).

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

2190672 is a wasteful number, since it uses less digits than its factorization.

2190672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2190672 is about 1480.0918890393. The cubic root of 2190672 is about 129.8750673524.

The spelling of 2190672 in words is "two million, one hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 461 528 594 792 922 1188 1383 1584 1844 2376 2766 3688 4149 4752 5071 5532 7376 8298 10142 11064 12447 15213 16596 20284 22128 24894 30426 33192 40568 45639 49788 60852 66384 81136 91278 99576 121704 136917 182556 199152 243408 273834 365112 547668 730224 1095336 2190672