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316055040 = 293575879
BaseRepresentation
bin10010110101101…
…001111000000000
3211000201021000020
4102311221320000
51121402230130
651210053440
710555265160
oct2265517000
9730637006
10316055040
1115244a914
1289a1a280
135062c722
142dd925a0
151cb30e10
hex12d69e00

316055040 has 160 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 72228864.

The previous prime is 316054997. The next prime is 316055053. The reversal of 316055040 is 40550613.

It is a tau number, because it is divible by the number of its divisors (160).

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 316055040.

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, 50821 + ... + 56699.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2316055040 is an apocalyptic number.

316055040 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 316055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

316055040 is an abundant number, since it is smaller than the sum of its proper divisors (838871040).

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

316055040 is an equidigital number, since it uses as much as digits as its factorization.

316055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 316055040 is about 17777.9368881769. The cubic root of 316055040 is about 681.1680041593.

The spelling of 316055040 in words is "three hundred sixteen million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 5879 6720 7680 8960 10752 11758 13440 17637 17920 23516 26880 29395 35274 41153 47032 53760 58790 70548 82306 88185 94064 117580 123459 141096 164612 176370 188128 205765 235160 246918 282192 329224 352740 376256 411530 470320 493836 564384 617295 658448 705480 752512 823060 940640 987672 1128768 1234590 1316896 1410960 1505024 1646120 1881280 1975344 2257536 2469180 2633792 2821920 3010048 3292240 3762560 3950688 4515072 4938360 5267584 5643840 6584480 7525120 7901376 9030144 9876720 10535168 11287680 13168960 15050240 15802752 19753440 21070336 22575360 26337920 31605504 39506880 45150720 52675840 63211008 79013760 105351680 158027520 316055040