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3102480 = 2432531139
BaseRepresentation
bin1011110101011100010000
312211121210200
423311130100
51243234410
6150255200
735241063
oct13653420
95747720
103102480
111829a37
121057500
138481b4
145aa8da
154143c0
hex2f5710

3102480 has 120 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 794880.

The previous prime is 3102469. The next prime is 3102481. The reversal of 3102480 is 842013.

It is a happy number.

3102480 is digitally balanced in base 2, 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 (120).

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

It is not an unprimeable number, because it can be changed into a prime (3102481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22251 + ... + 22389.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 23102480 is an apocalyptic number.

3102480 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 3102480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3102480 is an abundant number, since it is smaller than the sum of its proper divisors (7730160).

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

3102480 is a wasteful number, since it uses less digits than its factorization.

3102480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3102480 is about 1761.3858180421. The cubic root of 3102480 is about 145.8488458782.

Adding to 3102480 its reverse (842013), we get a palindrome (3944493).

The spelling of 3102480 in words is "three million, one hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 139 144 155 180 186 240 248 278 279 310 360 372 417 465 496 556 558 620 695 720 744 834 930 1112 1116 1240 1251 1390 1395 1488 1668 1860 2085 2224 2232 2480 2502 2780 2790 3336 3720 4170 4309 4464 5004 5560 5580 6255 6672 7440 8340 8618 10008 11120 11160 12510 12927 16680 17236 20016 21545 22320 25020 25854 33360 34472 38781 43090 50040 51708 64635 68944 77562 86180 100080 103416 129270 155124 172360 193905 206832 258540 310248 344720 387810 517080 620496 775620 1034160 1551240 3102480