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4996080 = 24355257
BaseRepresentation
bin10011000011101111110000
3100101211100000
4103003233300
52234333310
6255030000
760315555
oct23035760
910354300
104996080
1129026a1
12180b300
13105c07b
14940a2c
1568a4c0
hex4c3bf0

4996080 has 120 divisors (see below), whose sum is σ = 17467632. Its totient is φ = 1327104.

The previous prime is 4996051. The next prime is 4996081. The reversal of 4996080 is 806994.

4996080 is a `hidden beast` number, since 49 + 9 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (4996081) 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, 19312 + ... + 19568.

Almost surely, 24996080 is an apocalyptic number.

4996080 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 4996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733816).

4996080 is an abundant number, since it is smaller than the sum of its proper divisors (12471552).

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

4996080 is a wasteful number, since it uses less digits than its factorization.

4996080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

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

The square root of 4996080 is about 2235.1912669837. The cubic root of 4996080 is about 170.9528956129.

The spelling of 4996080 in words is "four million, nine hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 257 270 324 360 405 432 486 514 540 648 720 771 810 972 1028 1080 1215 1285 1296 1542 1620 1944 2056 2160 2313 2430 2570 3084 3240 3855 3888 4112 4626 4860 5140 6168 6480 6939 7710 9252 9720 10280 11565 12336 13878 15420 18504 19440 20560 20817 23130 27756 30840 34695 37008 41634 46260 55512 61680 62451 69390 83268 92520 104085 111024 124902 138780 166536 185040 208170 249804 277560 312255 333072 416340 499608 555120 624510 832680 999216 1249020 1665360 2498040 4996080