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2166528 = 28371331
BaseRepresentation
bin1000010000111100000000
311002001220210
420100330000
51023312103
6114234120
724262260
oct10207400
94061823
102166528
11124a821
12885940
135ab190
144057a0
152cbe03
hex210f00

2166528 has 144 divisors (see below), whose sum is σ = 7325696. Its totient is φ = 552960.

The previous prime is 2166523. The next prime is 2166529. The reversal of 2166528 is 8256612.

It is a junction number, because it is equal to n+sod(n) for n = 2166495 and 2166504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166523) 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, 69873 + ... + 69903.

22166528 is an apocalyptic number.

2166528 is a gapful number since it is divisible by the number (28) 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 2166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662848).

2166528 is an abundant number, since it is smaller than the sum of its proper divisors (5159168).

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

2166528 is a wasteful number, since it uses less digits than its factorization.

2166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2166528 is about 1471.9130409097. The cubic root of 2166528 is about 129.3961740414.

The spelling of 2166528 in words is "two million, one hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 52 56 62 64 78 84 91 93 96 104 112 124 128 156 168 182 186 192 208 217 224 248 256 273 312 336 364 372 384 403 416 434 448 496 546 624 651 672 728 744 768 806 832 868 896 992 1092 1209 1248 1302 1344 1456 1488 1612 1664 1736 1792 1984 2184 2418 2496 2604 2688 2821 2912 2976 3224 3328 3472 3968 4368 4836 4992 5208 5376 5642 5824 5952 6448 6944 7936 8463 8736 9672 9984 10416 11284 11648 11904 12896 13888 16926 17472 19344 20832 22568 23296 23808 25792 27776 33852 34944 38688 41664 45136 51584 55552 67704 69888 77376 83328 90272 103168 135408 154752 166656 180544 270816 309504 361088 541632 722176 1083264 2166528