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131630340 = 22353170769
BaseRepresentation
bin1111101100010…
…00010100000100
3100011200111212210
413312020110010
5232144132330
621021143420
73155560632
oct766102404
9304614783
10131630340
1168335906
12380bab70
132136989a
14136a6352
15b8518b0
hex7d88504

131630340 has 48 divisors (see below), whose sum is σ = 380459520. Its totient is φ = 33968640.

The previous prime is 131630339. The next prime is 131630351. The reversal of 131630340 is 43036131.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33525 + ... + 37244.

It is an arithmetic number, because the mean of its divisors is an integer number (7926240).

Almost surely, 2131630340 is an apocalyptic number.

131630340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131630340 is an abundant number, since it is smaller than the sum of its proper divisors (248829180).

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

131630340 is a wasteful number, since it uses less digits than its factorization.

131630340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70812 (or 70810 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 131630340 is about 11473.0266277038. The cubic root of 131630340 is about 508.6885953977.

Adding to 131630340 its reverse (43036131), we get a palindrome (174666471).

The spelling of 131630340 in words is "one hundred thirty-one million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 70769 141538 212307 283076 353845 424614 707690 849228 1061535 1415380 2123070 2193839 4246140 4387678 6581517 8775356 10969195 13163034 21938390 26326068 32907585 43876780 65815170 131630340