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131434740 = 223251913823
BaseRepresentation
bin1111101010110…
…00100011110100
3100011022120120100
413311120203310
5232121402430
621013034100
73154114443
oct765304364
9304276510
10131434740
1168211958
1238025930
13212cb848
1413654d5a
15b813960
hex7d588f4

131434740 has 72 divisors (see below), whose sum is σ = 400877568. Its totient is φ = 34856640.

The previous prime is 131434739. The next prime is 131434747. The reversal of 131434740 is 47434131.

131434740 is a `hidden beast` number, since 1 + 314 + 347 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32469 + ... + 36291.

It is an arithmetic number, because the mean of its divisors is an integer number (5567744).

Almost surely, 2131434740 is an apocalyptic number.

131434740 is a gapful number since it is divisible by the number (10) 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 131434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200438784).

131434740 is an abundant number, since it is smaller than the sum of its proper divisors (269442828).

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

131434740 is a wasteful number, since it uses less digits than its factorization.

131434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 131434740 is about 11464.4991168389. The cubic root of 131434740 is about 508.4365035301.

Adding to 131434740 its reverse (47434131), we get a palindrome (178868871).

The spelling of 131434740 in words is "one hundred thirty-one million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 3823 5730 6876 7646 8595 11460 11469 15292 17190 19115 22938 34380 34407 38230 45876 57345 68814 76460 114690 137628 172035 229380 344070 688140 730193 1460386 2190579 2920772 3650965 4381158 6571737 7301930 8762316 10952895 13143474 14603860 21905790 26286948 32858685 43811580 65717370 131434740