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315012480 = 2735191859
BaseRepresentation
bin10010110001101…
…011010110000000
3210221202021212220
4102301223112000
51121120344410
651131451040
710543363506
oct2261532600
9727667786
10315012480
111518a85a2
12895b6a80
1350356023
142dba0676
151c9c7070
hex12c6b580

315012480 has 128 divisors (see below), whose sum is σ = 1010534400. Its totient is φ = 83466240.

The previous prime is 315012469. The next prime is 315012491. The reversal of 315012480 is 84210513.

It is an interprime number because it is at equal distance from previous prime (315012469) and next prime (315012491).

It is a tau number, because it is divible by the number of its divisors (128).

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 315012480.

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, 366291 + ... + 367149.

It is an arithmetic number, because the mean of its divisors is an integer number (7894800).

Almost surely, 2315012480 is an apocalyptic number.

315012480 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 315012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505267200).

315012480 is an abundant number, since it is smaller than the sum of its proper divisors (695521920).

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

315012480 is a wasteful number, since it uses less digits than its factorization.

315012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 315012480 is about 17748.5909299865. The cubic root of 315012480 is about 680.4181971983.

Adding to 315012480 its reverse (84210513), we get a palindrome (399222993).

The spelling of 315012480 in words is "three hundred fifteen million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 859 955 960 1146 1528 1718 1910 1920 2292 2577 2865 3056 3436 3820 4295 4584 5154 5730 6112 6872 7640 8590 9168 10308 11460 12224 12885 13744 15280 17180 18336 20616 22920 24448 25770 27488 30560 34360 36672 41232 45840 51540 54976 61120 68720 73344 82464 91680 103080 109952 122240 137440 164069 164928 183360 206160 274880 328138 329856 366720 412320 492207 549760 656276 820345 824640 984414 1312552 1640690 1649280 1968828 2461035 2625104 3281380 3937656 4922070 5250208 6562760 7875312 9844140 10500416 13125520 15750624 19688280 21000832 26251040 31501248 39376560 52502080 63002496 78753120 105004160 157506240 315012480