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3096960 = 27351613
BaseRepresentation
bin1011110100000110000000
312211100020020
423310012000
51243100320
6150213440
735216016
oct13640600
95740206
103096960
111825879
121054280
13845829
145a88b6
15412940
hex2f4180

3096960 has 64 divisors (see below), whose sum is σ = 9877680. Its totient is φ = 825344.

The previous prime is 3096959. The next prime is 3096967. The reversal of 3096960 is 696903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30969602 = 19182322483200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3096967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 2726.

Almost surely, 23096960 is an apocalyptic number.

3096960 is a gapful number since it is divisible by the number (30) 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 3096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938840).

3096960 is an abundant number, since it is smaller than the sum of its proper divisors (6780720).

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

3096960 is a wasteful number, since it uses less digits than its factorization.

3096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 3096960 is about 1759.8181724258. The cubic root of 3096960 is about 145.7622953791.

The spelling of 3096960 in words is "three million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1613 1920 3226 4839 6452 8065 9678 12904 16130 19356 24195 25808 32260 38712 48390 51616 64520 77424 96780 103232 129040 154848 193560 206464 258080 309696 387120 516160 619392 774240 1032320 1548480 3096960