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4990080 = 273523113
BaseRepresentation
bin10011000010010010000000
3100101112002210
4103002102000
52234140310
6254542120
760262224
oct23022200
910345083
104990080
1128a9137
121807940
131059414
1493c784
15688820
hex4c2480

4990080 has 128 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 1261568.

The previous prime is 4990067. The next prime is 4990091. The reversal of 4990080 is 800994.

4990080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44104 + ... + 44216.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 24990080 is an apocalyptic number.

4990080 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 4990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

4990080 is an abundant number, since it is smaller than the sum of its proper divisors (11754240).

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

4990080 is a wasteful number, since it uses less digits than its factorization.

4990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 4990080 is about 2233.8486967563. The cubic root of 4990080 is about 170.8844333880.

The spelling of 4990080 in words is "four million, nine hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 113 115 120 128 138 160 184 192 226 230 240 276 320 339 345 368 384 452 460 480 552 565 640 678 690 736 904 920 960 1104 1130 1356 1380 1472 1695 1808 1840 1920 2208 2260 2599 2712 2760 2944 3390 3616 3680 4416 4520 5198 5424 5520 6780 7232 7360 7797 8832 9040 10396 10848 11040 12995 13560 14464 14720 15594 18080 20792 21696 22080 25990 27120 31188 36160 38985 41584 43392 44160 51980 54240 62376 72320 77970 83168 103960 108480 124752 155940 166336 207920 216960 249504 311880 332672 415840 499008 623760 831680 998016 1247520 1663360 2495040 4990080