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207431040 = 2735108037
BaseRepresentation
bin11000101110100…
…10010110000000
3112110022120220010
430113102112000
5411100243130
632325544520
75066064135
oct1427222600
9473276803
10207431040
11a70a9013
1259575140
1333c8977b
141d79858c
15133260b0
hexc5d2580

207431040 has 64 divisors (see below), whose sum is σ = 661192560. Its totient is φ = 55314432.

The previous prime is 207431039. The next prime is 207431041. The reversal of 207431040 is 40134702.

207431040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (207431039) and next prime (207431041).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 207430998 and 207431016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207431041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52099 + ... + 55938.

Almost surely, 2207431040 is an apocalyptic number.

207431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

207431040 is an abundant number, since it is smaller than the sum of its proper divisors (453761520).

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

207431040 is a wasteful number, since it uses less digits than its factorization.

207431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108059 (or 108047 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 207431040 is about 14402.4664554374. The cubic root of 207431040 is about 591.9584826010.

Adding to 207431040 its reverse (40134702), we get a palindrome (247565742).

The spelling of 207431040 in words is "two hundred seven million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 108037 216074 324111 432148 540185 648222 864296 1080370 1296444 1620555 1728592 2160740 2592888 3241110 3457184 4321480 5185776 6482220 6914368 8642960 10371552 12964440 13828736 17285920 20743104 25928880 34571840 41486208 51857760 69143680 103715520 207431040