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2950080 = 26357439
BaseRepresentation
bin1011010000001111000000
312112212202020
423100033000
51223400310
6143121440
734034550
oct13201700
95485666
102950080
111735491
12ba3280
137c3a13
1456b160
153d4170
hex2d03c0

2950080 has 112 divisors (see below), whose sum is σ = 10728960. Its totient is φ = 672768.

The previous prime is 2950063. The next prime is 2950093. The reversal of 2950080 is 800592.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2950080.

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, 6501 + ... + 6939.

22950080 is an apocalyptic number.

2950080 is a gapful number since it is divisible by the number (20) 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 2950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364480).

2950080 is an abundant number, since it is smaller than the sum of its proper divisors (7778880).

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

2950080 is a wasteful number, since it uses less digits than its factorization.

2950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2950080 is about 1717.5796924743. The cubic root of 2950080 is about 143.4205106349.

The spelling of 2950080 in words is "two million, nine hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 439 448 480 560 672 840 878 960 1120 1317 1344 1680 1756 2195 2240 2634 3073 3360 3512 4390 5268 6146 6585 6720 7024 8780 9219 10536 12292 13170 14048 15365 17560 18438 21072 24584 26340 28096 30730 35120 36876 42144 46095 49168 52680 61460 70240 73752 84288 92190 98336 105360 122920 140480 147504 184380 196672 210720 245840 295008 368760 421440 491680 590016 737520 983360 1475040 2950080