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131689950 = 235272192341
BaseRepresentation
bin1111101100101…
…10110111011110
3100011210112122120
413312112313132
5232203034300
621022323410
73156226500
oct766266736
9304715576
10131689950
1168376677
1238129566
132138aa62
14136bdd70
15b8643a0
hex7d96dde

131689950 has 288 divisors, whose sum is σ = 427472640. Its totient is φ = 26611200.

The previous prime is 131689897. The next prime is 131689963. The reversal of 131689950 is 59986131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3211930 + ... + 3211970.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2131689950 is an apocalyptic number.

131689950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131689950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

131689950 is an abundant number, since it is smaller than the sum of its proper divisors (295782690).

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

131689950 is a wasteful number, since it uses less digits than its factorization.

131689950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 131689950 is about 11475.6241660312. The cubic root of 131689950 is about 508.7653718992.

The spelling of 131689950 in words is "one hundred thirty-one million, six hundred eighty-nine thousand, nine hundred fifty".