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315300020 = 225717137967
BaseRepresentation
bin10010110010110…
…001100010110100
3210222021220022112
4102302301202310
51121204100040
651141550152
710546002020
oct2262614264
9728256275
10315300020
11151a84632
1289715358
1350426b79
142dc37380
151ca32365
hex12cb18b4

315300020 has 96 divisors (see below), whose sum is σ = 807916032. Its totient is φ = 100896768.

The previous prime is 315300019. The next prime is 315300053. The reversal of 315300020 is 20003513.

It is a super-2 number, since 2×3153000202 = 198828205224000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 315299968 and 315300004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325577 + ... + 326543.

It is an arithmetic number, because the mean of its divisors is an integer number (8415792).

Almost surely, 2315300020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403958016).

315300020 is an abundant number, since it is smaller than the sum of its proper divisors (492616012).

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

315300020 is a wasteful number, since it uses less digits than its factorization.

315300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 315300020 is about 17756.6894436998. The cubic root of 315300020 is about 680.6251603746.

Adding to 315300020 its reverse (20003513), we get a palindrome (335303533).

The spelling of 315300020 in words is "three hundred fifteen million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 137 140 170 238 274 340 476 548 595 685 959 967 1190 1370 1918 1934 2329 2380 2740 3836 3868 4658 4795 4835 6769 9316 9590 9670 11645 13538 16303 16439 19180 19340 23290 27076 32606 32878 33845 46580 65212 65756 67690 81515 82195 115073 132479 135380 163030 164390 230146 264958 326060 328780 460292 529916 575365 662395 927353 1150730 1324790 1854706 2252143 2301460 2649580 3709412 4504286 4636765 9008572 9273530 11260715 15765001 18547060 22521430 31530002 45042860 63060004 78825005 157650010 315300020