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131417730 = 23257731889
BaseRepresentation
bin1111101010101…
…00011010000010
3100011021201020100
413311110122002
5232120331410
621012423230
73154014033
oct765243202
9304251210
10131417730
11682000a4
1238017b16
13212c3b92
141364ca8a
15b80d8c0
hex7d54682

131417730 has 48 divisors (see below), whose sum is σ = 342309240. Its totient is φ = 34980864.

The previous prime is 131417717. The next prime is 131417771. The reversal of 131417730 is 37714131.

It can be written as a sum of positive squares in 4 ways, for example, as 71927361 + 59490369 = 8481^2 + 7713^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131417694 and 131417703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68626 + ... + 70514.

Almost surely, 2131417730 is an apocalyptic number.

131417730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131417730 is an abundant number, since it is smaller than the sum of its proper divisors (210891510).

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

131417730 is a wasteful number, since it uses less digits than its factorization.

131417730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 131417730 is about 11463.7572374854. The cubic root of 131417730 is about 508.4145689994.

It can be divided in two parts, 1314 and 17730, that added together give a square (19044 = 1382).

The spelling of 131417730 in words is "one hundred thirty-one million, four hundred seventeen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 773 1546 1889 2319 3778 3865 4638 5667 6957 7730 9445 11334 11595 13914 17001 18890 23190 28335 34002 34785 56670 69570 85005 170010 1460197 2920394 4380591 7300985 8761182 13141773 14601970 21902955 26283546 43805910 65708865 131417730