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4932960 = 253543239
BaseRepresentation
bin10010110100010101100000
3100021121202020
4102310111200
52230323320
6253421440
756633544
oct22642540
910247666
104932960
11286a22a
12179a880
131039416
14925a24
15676940
hex4b4560

4932960 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1279488.

The previous prime is 4932953. The next prime is 4933007. The reversal of 4932960 is 692394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20521 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 24932960 is an apocalyptic number.

4932960 is a gapful number since it is divisible by the number (40) 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 4932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

4932960 is an abundant number, since it is smaller than the sum of its proper divisors (11033760).

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

4932960 is a wasteful number, since it uses less digits than its factorization.

4932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4932960 is about 2221.0267895728. The cubic root of 4932960 is about 170.2299080785.

The spelling of 4932960 in words is "four million, nine hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 239 240 258 344 430 478 480 516 645 688 717 860 956 1032 1195 1290 1376 1434 1720 1912 2064 2390 2580 2868 3440 3585 3824 4128 4780 5160 5736 6880 7170 7648 9560 10277 10320 11472 14340 19120 20554 20640 22944 28680 30831 38240 41108 51385 57360 61662 82216 102770 114720 123324 154155 164432 205540 246648 308310 328864 411080 493296 616620 822160 986592 1233240 1644320 2466480 4932960