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2314980 = 223451429
BaseRepresentation
bin1000110101001011100100
311100121120000
420311023210
51043034410
6121341300
725451133
oct10651344
94317500
102314980
111341308
12937830
13630915
1444391a
1530adc0
hex2352e4

2314980 has 60 divisors (see below), whose sum is σ = 7267260. Its totient is φ = 616896.

The previous prime is 2314969. The next prime is 2314997. The reversal of 2314980 is 894132.

It can be written as a sum of positive squares in 2 ways, for example, as 443556 + 1871424 = 666^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 906 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (121121).

22314980 is an apocalyptic number.

2314980 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 2314980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633630).

2314980 is an abundant number, since it is smaller than the sum of its proper divisors (4952280).

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

2314980 is a wasteful number, since it uses less digits than its factorization.

2314980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2314980 is about 1521.5058330483. The cubic root of 2314980 is about 132.2865675041.

The spelling of 2314980 in words is "two million, three hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1429 1620 2858 4287 5716 7145 8574 12861 14290 17148 21435 25722 28580 38583 42870 51444 64305 77166 85740 115749 128610 154332 192915 231498 257220 385830 462996 578745 771660 1157490 2314980