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315027840 = 2735473491
BaseRepresentation
bin10010110001101…
…111000110000000
3210221210001221210
4102301233012000
51121121342330
651132050120
710543456341
oct2261570600
9727701853
10315027840
11151909096
1289603940
135036000a
142dba60c8
151c9cb8b0
hex12c6f180

315027840 has 128 divisors (see below), whose sum is σ = 1025809920. Its totient is φ = 82196480.

The previous prime is 315027763. The next prime is 315027907. The reversal of 315027840 is 48720513.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 315027798 and 315027807.

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, 88495 + ... + 91985.

It is an arithmetic number, because the mean of its divisors is an integer number (8014140).

Almost surely, 2315027840 is an apocalyptic number.

315027840 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 315027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512904960).

315027840 is an abundant number, since it is smaller than the sum of its proper divisors (710782080).

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

315027840 is a wasteful number, since it uses less digits than its factorization.

315027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 315027840 is about 17749.0236351186. The cubic root of 315027840 is about 680.4292560762.

The spelling of 315027840 in words is "three hundred fifteen million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3491 3760 4512 5640 6016 6982 7520 9024 10473 11280 13964 15040 17455 18048 20946 22560 27928 30080 34910 41892 45120 52365 55856 69820 83784 90240 104730 111712 139640 164077 167568 209460 223424 279280 328154 335136 418920 446848 492231 558560 656308 670272 820385 837840 984462 1117120 1312616 1340544 1640770 1675680 1968924 2234240 2461155 2625232 3281540 3351360 3937848 4922310 5250464 6563080 6702720 7875696 9844620 10500928 13126160 15751392 19689240 21001856 26252320 31502784 39378480 52504640 63005568 78756960 105009280 157513920 315027840