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6012468 = 2234711241
BaseRepresentation
bin10110111011111000110100
3102022110120000
4112323320310
53014344333
6332511300
7102051030
oct26737064
912273500
106012468
113437290
12201b530
131326897
14b271c0
157db713
hex5bbe34

6012468 has 120 divisors (see below), whose sum is σ = 19677504. Its totient is φ = 1555200.

The previous prime is 6012467. The next prime is 6012473. The reversal of 6012468 is 8642106.

It is a super-2 number, since 2×60124682 = 72299542902048, which contains 22 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 (6012467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24828 + ... + 25068.

Almost surely, 26012468 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 6012468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838752).

6012468 is an abundant number, since it is smaller than the sum of its proper divisors (13665036).

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

6012468 is a wasteful number, since it uses less digits than its factorization.

6012468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6012468 is about 2452.0334418600. The cubic root of 6012468 is about 181.8378380870.

The spelling of 6012468 in words is "six million, twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 241 252 297 308 324 378 396 462 482 567 594 693 723 756 891 924 964 1134 1188 1386 1446 1687 1782 2079 2169 2268 2651 2772 2892 3374 3564 4158 4338 5061 5302 6237 6507 6748 7953 8316 8676 10122 10604 12474 13014 15183 15906 18557 19521 20244 23859 24948 26028 30366 31812 37114 39042 45549 47718 55671 60732 71577 74228 78084 91098 95436 111342 136647 143154 167013 182196 214731 222684 273294 286308 334026 429462 501039 546588 668052 858924 1002078 1503117 2004156 3006234 6012468