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3125280 = 253517383
BaseRepresentation
bin1011111011000000100000
312212210002010
423323000200
51300002110
6150552520
735364414
oct13730040
95783063
103125280
111845084
121068740
138556a2
145b4d44
1541b020
hex2fb020

3125280 has 96 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 782336.

The previous prime is 3125261. The next prime is 3125293. The reversal of 3125280 is 825213.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7969 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 23125280 is an apocalyptic number.

3125280 is a gapful number since it is divisible by the number (30) 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 3125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

3125280 is an abundant number, since it is smaller than the sum of its proper divisors (7325664).

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

3125280 is a wasteful number, since it uses less digits than its factorization.

3125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3125280 is about 1767.8461471520. The cubic root of 3125280 is about 146.2052533134.

The spelling of 3125280 in words is "three million, one hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 383 408 480 510 544 680 766 816 1020 1149 1360 1532 1632 1915 2040 2298 2720 3064 3830 4080 4596 5745 6128 6511 7660 8160 9192 11490 12256 13022 15320 18384 19533 22980 26044 30640 32555 36768 39066 45960 52088 61280 65110 78132 91920 97665 104176 130220 156264 183840 195330 208352 260440 312528 390660 520880 625056 781320 1041760 1562640 3125280