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842960 = 24541257
BaseRepresentation
bin11001101110011010000
31120211022202
43031303100
5203433320
630022332
710110416
oct3156320
91524282
10842960
11526368
123479a8
132368c1
1417d2b6
15119b75
hexcdcd0

842960 has 40 divisors (see below), whose sum is σ = 2015496. Its totient is φ = 327680.

The previous prime is 842957. The next prime is 842969. The reversal of 842960 is 69248.

842960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 732736 = 332^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842960.

It is not an unprimeable number, because it can be changed into a prime (842969) 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, 3152 + ... + 3408.

2842960 is an apocalyptic number.

842960 is a gapful number since it is divisible by the number (80) 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 842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007748).

842960 is an abundant number, since it is smaller than the sum of its proper divisors (1172536).

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

842960 is a wasteful number, since it uses less digits than its factorization.

842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 842960 is about 918.1285313070. The cubic root of 842960 is about 94.4645780478.

The spelling of 842960 in words is "eight hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 257 328 410 514 656 820 1028 1285 1640 2056 2570 3280 4112 5140 10280 10537 20560 21074 42148 52685 84296 105370 168592 210740 421480 842960