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6601968 = 2432192127
BaseRepresentation
bin11001001011110011110000
3110102102012100
4121023303300
53142230333
6353300400
7110054502
oct31136360
913372170
106601968
1137aa17a
122264700
1314a1cb9
14c3bd72
158a6213
hex64bcf0

6601968 has 90 divisors (see below), whose sum is σ = 19653504. Its totient is φ = 2068416.

The previous prime is 6601961. The next prime is 6601993. The reversal of 6601968 is 8691066.

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 (6601961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51921 + ... + 52047.

Almost surely, 26601968 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 6601968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9826752).

6601968 is an abundant number, since it is smaller than the sum of its proper divisors (13051536).

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

6601968 is a wasteful number, since it uses less digits than its factorization.

6601968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6601968 is about 2569.4295086653. The cubic root of 6601968 is about 187.5963877750.

It can be divided in two parts, 6601 and 968, that added together give a square (7569 = 872).

The spelling of 6601968 in words is "six million, six hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 127 144 152 171 228 254 304 342 361 381 456 508 684 722 762 912 1016 1083 1143 1368 1444 1524 2032 2166 2286 2413 2736 2888 3048 3249 4332 4572 4826 5776 6096 6498 7239 8664 9144 9652 12996 14478 17328 18288 19304 21717 25992 28956 38608 43434 45847 51984 57912 86868 91694 115824 137541 173736 183388 275082 347472 366776 412623 550164 733552 825246 1100328 1650492 2200656 3300984 6601968