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318499920 = 243251732557
BaseRepresentation
bin10010111110111…
…110110001010000
3211012022110202100
4102332332301100
51123013444140
651334320400
710615130124
oct2276766120
9735273670
10318499920
1115386a782
128a7b9100
1350ca74bb
143042b584
151ce65530
hex12fbec50

318499920 has 120 divisors (see below), whose sum is σ = 1076232456. Its totient is φ = 84409344.

The previous prime is 318499919. The next prime is 318499927. The reversal of 318499920 is 29994813.

318499920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80353296 + 238146624 = 8964^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318499927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123282 + ... + 125838.

Almost surely, 2318499920 is an apocalyptic number.

318499920 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 318499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538116228).

318499920 is an abundant number, since it is smaller than the sum of its proper divisors (757732536).

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

318499920 is a wasteful number, since it uses less digits than its factorization.

318499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 318499920 is about 17846.5660562473. The cubic root of 318499920 is about 682.9199122653.

The spelling of 318499920 in words is "three hundred eighteen million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2557 2595 2768 3114 3460 4152 5114 5190 6228 6920 7671 7785 8304 10228 10380 12456 12785 13840 15342 15570 20456 20760 23013 24912 25570 30684 31140 38355 40912 41520 46026 51140 61368 62280 76710 92052 102280 115065 122736 124560 153420 184104 204560 230130 306840 368208 442361 460260 613680 884722 920520 1327083 1769444 1841040 2211805 2654166 3538888 3981249 4423610 5308332 6635415 7077776 7962498 8847220 10616664 13270830 15924996 17694440 19906245 21233328 26541660 31849992 35388880 39812490 53083320 63699984 79624980 106166640 159249960 318499920