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207831040 = 21454359
BaseRepresentation
bin11000110001101…
…00000000000000
3112111001220120221
430120310000000
5411201043130
632342312424
75102351254
oct1430640000
9474056527
10207831040
11a735159a
1259728714
1334099861
141d860264
15133a487a
hexc634000

207831040 has 120 divisors (see below), whose sum is σ = 519029280. Its totient is φ = 79822848.

The previous prime is 207831007. The next prime is 207831047. The reversal of 207831040 is 40138702.

It is a junction number, because it is equal to n+sod(n) for n = 207830996 and 207831014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207831047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3522531 + ... + 3522589.

It is an arithmetic number, because the mean of its divisors is an integer number (4325244).

Almost surely, 2207831040 is an apocalyptic number.

207831040 is a gapful number since it is divisible by the number (20) 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 207831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259514640).

207831040 is an abundant number, since it is smaller than the sum of its proper divisors (311198240).

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

207831040 is an frugal number, since it uses more digits than its factorization.

207831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 207831040 is about 14416.3462777501. The cubic root of 207831040 is about 592.3387396659.

Adding to 207831040 its reverse (40138702), we get a palindrome (247969742).

The spelling of 207831040 in words is "two hundred seven million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 59 64 80 86 118 128 160 172 215 236 256 295 320 344 430 472 512 590 640 688 860 944 1024 1180 1280 1376 1720 1888 2048 2360 2537 2560 2752 3440 3776 4096 4720 5074 5120 5504 6880 7552 8192 9440 10148 10240 11008 12685 13760 15104 16384 18880 20296 20480 22016 25370 27520 30208 37760 40592 40960 44032 50740 55040 60416 75520 81184 81920 88064 101480 110080 120832 151040 162368 176128 202960 220160 241664 302080 324736 352256 405920 440320 483328 604160 649472 704512 811840 880640 966656 1208320 1298944 1623680 1761280 2416640 2597888 3247360 3522560 4833280 5195776 6494720 10391552 12989440 20783104 25978880 41566208 51957760 103915520 207831040