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2305080 = 2332519337
BaseRepresentation
bin1000110010110000111000
311100002222100
420302300320
51042230310
6121223400
725410231
oct10626070
94302870
102305080
111334928
12931b60
1362926b
14440088
15307ec0
hex232c38

2305080 has 96 divisors (see below), whose sum is σ = 7909200. Its totient is φ = 580608.

The previous prime is 2305049. The next prime is 2305091. The reversal of 2305080 is 805032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6672 + ... + 7008.

22305080 is an apocalyptic number.

2305080 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 2305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954600).

2305080 is an abundant number, since it is smaller than the sum of its proper divisors (5604120).

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

2305080 is a wasteful number, since it uses less digits than its factorization.

2305080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2305080 is about 1518.2489914372. The cubic root of 2305080 is about 132.0977237774.

The spelling of 2305080 in words is "two million, three hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 337 342 360 380 456 570 674 684 760 855 1011 1140 1348 1368 1685 1710 2022 2280 2696 3033 3370 3420 4044 5055 6066 6403 6740 6840 8088 10110 12132 12806 13480 15165 19209 20220 24264 25612 30330 32015 38418 40440 51224 57627 60660 64030 76836 96045 115254 121320 128060 153672 192090 230508 256120 288135 384180 461016 576270 768360 1152540 2305080