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1660968 = 2332172359
BaseRepresentation
bin110010101100000101000
310010101102100
412111200220
5411122333
655333400
720055321
oct6254050
93111370
101660968
11a34a01
12681260
1346202a
14313448
1522c213
hex195828

1660968 has 96 divisors (see below), whose sum is σ = 5054400. Its totient is φ = 489984.

The previous prime is 1660963. The next prime is 1661003. The reversal of 1660968 is 8690661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28123 + ... + 28181.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

21660968 is an apocalyptic number.

1660968 is a gapful number since it is divisible by the number (18) 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 1660968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527200).

1660968 is an abundant number, since it is smaller than the sum of its proper divisors (3393432).

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

1660968 is a wasteful number, since it uses less digits than its factorization.

1660968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 104 counting only the distinct ones).

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

The square root of 1660968 is about 1288.7854747785. The cubic root of 1660968 is about 118.4278255152.

It can be divided in two parts, 1660 and 968, that added together give a triangular number (2628 = T72).

The spelling of 1660968 in words is "one million, six hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 59 68 69 72 92 102 118 136 138 153 177 184 204 207 236 276 306 354 391 408 414 472 531 552 612 708 782 828 1003 1062 1173 1224 1357 1416 1564 1656 2006 2124 2346 2714 3009 3128 3519 4012 4071 4248 4692 5428 6018 7038 8024 8142 9027 9384 10856 12036 12213 14076 16284 18054 23069 24072 24426 28152 32568 36108 46138 48852 69207 72216 92276 97704 138414 184552 207621 276828 415242 553656 830484 1660968