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315012320 = 25571372053
BaseRepresentation
bin10010110001101…
…011010011100000
3210221202021122222
4102301223103200
51121120343240
651131450212
710543363160
oct2261532340
9727667588
10315012320
111518a8467
12895b6968
1350355c2c
142dba05a0
151c9c6eb5
hex12c6b4e0

315012320 has 96 divisors (see below), whose sum is σ = 857158848. Its totient is φ = 107163648.

The previous prime is 315012319. The next prime is 315012323. The reversal of 315012320 is 23210513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315012323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 152414 + ... + 154466.

It is an arithmetic number, because the mean of its divisors is an integer number (8928738).

Almost surely, 2315012320 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 315012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428579424).

315012320 is an abundant number, since it is smaller than the sum of its proper divisors (542146528).

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

315012320 is a wasteful number, since it uses less digits than its factorization.

315012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 315012320 is about 17748.5864225859. The cubic root of 315012320 is about 680.4180819998.

Adding to 315012320 its reverse (23210513), we get a palindrome (338222833).

The spelling of 315012320 in words is "three hundred fifteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 137 140 160 224 274 280 548 560 685 959 1096 1120 1370 1918 2053 2192 2740 3836 4106 4384 4795 5480 7672 8212 9590 10265 10960 14371 15344 16424 19180 20530 21920 28742 30688 32848 38360 41060 57484 65696 71855 76720 82120 114968 143710 153440 164240 229936 281261 287420 328480 459872 562522 574840 1125044 1149680 1406305 1968827 2250088 2299360 2812610 3937654 4500176 5625220 7875308 9000352 9844135 11250440 15750616 19688270 22500880 31501232 39376540 45001760 63002464 78753080 157506160 315012320