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5868672 = 273172931
BaseRepresentation
bin10110011000110010000000
3102001011022020
4112120302000
53000244142
6325441440
7100611555
oct26306200
912034266
105868672
113349247
121b70280
1312a62b4
14acaa2c
157adcec
hex598c80

5868672 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1720320.

The previous prime is 5868649. The next prime is 5868677. The reversal of 5868672 is 2768685.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×58686722 = 68882622087168, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5868677) 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, 189297 + ... + 189327.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 25868672 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 5868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5868672 is an abundant number, since it is smaller than the sum of its proper divisors (11756928).

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

5868672 is a wasteful number, since it uses less digits than its factorization.

5868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 5868672 is about 2422.5342102848. The cubic root of 5868672 is about 180.3764959062.

The spelling of 5868672 in words is "five million, eight hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 31 32 34 48 51 58 62 64 68 87 93 96 102 116 124 128 136 174 186 192 204 232 248 272 348 372 384 408 464 493 496 527 544 696 744 816 899 928 986 992 1054 1088 1392 1479 1488 1581 1632 1798 1856 1972 1984 2108 2176 2697 2784 2958 2976 3162 3264 3596 3712 3944 3968 4216 5394 5568 5916 5952 6324 6528 7192 7888 8432 10788 11136 11832 11904 12648 14384 15283 15776 16864 21576 23664 25296 28768 30566 31552 33728 43152 45849 47328 50592 57536 61132 63104 67456 86304 91698 94656 101184 115072 122264 172608 183396 189312 202368 244528 345216 366792 489056 733584 978112 1467168 1956224 2934336 5868672